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Finding the Fourth Proportional to 102,162.50, 153,260.15 and 38,980.07

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Solution

The fourth proportional to 102,162.50, 153,260.15 and 38,980.07 is: 58,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,162.50 : 153,260.15 = 38,980.07 : x
  2. Step 2: Convert to fraction form
    102,162.50/153,260.15 = 38,980.07/x
  3. Step 3: Cross multiply
    102,162.50x = 153,260.15 × 38,980.07
  4. Step 4: Simplify right side
    102,162.50x = 5,974,090,414.01
  5. Step 5: Solve for x
    x = 5,974,090,414.01/102,162.50
  6. Step 6: Final answer
    x = 58,476.36

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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.