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Finding the Fourth Proportional to 131,705.40, 197,500.50 and 38,209.08

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Solution

The fourth proportional to 131,705.40, 197,500.50 and 38,209.08 is: 57,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,705.40 : 197,500.50 = 38,209.08 : x
  2. Step 2: Convert to fraction form
    131,705.40/197,500.50 = 38,209.08/x
  3. Step 3: Cross multiply
    131,705.40x = 197,500.50 × 38,209.08
  4. Step 4: Simplify right side
    131,705.40x = 7,546,312,404.54
  5. Step 5: Solve for x
    x = 7,546,312,404.54/131,705.40
  6. Step 6: Final answer
    x = 57,296.91

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