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Finding the Fourth Proportional to 152,461.64, 228,692.96 and 38,609.39

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Solution

The fourth proportional to 152,461.64, 228,692.96 and 38,609.39 is: 57,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,461.64 : 228,692.96 = 38,609.39 : x
  2. Step 2: Convert to fraction form
    152,461.64/228,692.96 = 38,609.39/x
  3. Step 3: Cross multiply
    152,461.64x = 228,692.96 × 38,609.39
  4. Step 4: Simplify right side
    152,461.64x = 8,829,695,682.89
  5. Step 5: Solve for x
    x = 8,829,695,682.89/152,461.64
  6. Step 6: Final answer
    x = 57,914.21

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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.