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Finding the Fourth Proportional to 234,182.50, 351,273.75 and 86,438.50

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Solution

The fourth proportional to 234,182.50, 351,273.75 and 86,438.50 is: 129,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,182.50 : 351,273.75 = 86,438.50 : x
  2. Step 2: Convert to fraction form
    234,182.50/351,273.75 = 86,438.50/x
  3. Step 3: Cross multiply
    234,182.50x = 351,273.75 × 86,438.50
  4. Step 4: Simplify right side
    234,182.50x = 30,363,576,039.38
  5. Step 5: Solve for x
    x = 30,363,576,039.38/234,182.50
  6. Step 6: Final answer
    x = 129,657.75

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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.