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Finding the Fourth Proportional to 137,217,692.16, 205,633,028.16 and 75,834,492.48

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Solution

The fourth proportional to 137,217,692.16, 205,633,028.16 and 75,834,492.48 is: 113,644,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,217,692.16 : 205,633,028.16 = 75,834,492.48 : x
  2. Step 2: Convert to fraction form
    137,217,692.16/205,633,028.16 = 75,834,492.48/x
  3. Step 3: Cross multiply
    137,217,692.16x = 205,633,028.16 × 75,834,492.48
  4. Step 4: Simplify right side
    137,217,692.16x = 15,594,076,327,639,148
  5. Step 5: Solve for x
    x = 15,594,076,327,639,148/137,217,692.16
  6. Step 6: Final answer
    x = 113,644,793.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.