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Finding the Fourth Proportional to 131,692.91, 197,599.32 and 55,812.20

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Solution

The fourth proportional to 131,692.91, 197,599.32 and 55,812.20 is: 83,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,692.91 : 197,599.32 = 55,812.20 : x
  2. Step 2: Convert to fraction form
    131,692.91/197,599.32 = 55,812.20/x
  3. Step 3: Cross multiply
    131,692.91x = 197,599.32 × 55,812.20
  4. Step 4: Simplify right side
    131,692.91x = 11,028,451,779.71
  5. Step 5: Solve for x
    x = 11,028,451,779.71/131,692.91
  6. Step 6: Final answer
    x = 83,743.70

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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.