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Finding the Fourth Proportional to 102,509.54, 141,478.74 and 62,215.52

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Solution

The fourth proportional to 102,509.54, 141,478.74 and 62,215.52 is: 85,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,509.54 : 141,478.74 = 62,215.52 : x
  2. Step 2: Convert to fraction form
    102,509.54/141,478.74 = 62,215.52/x
  3. Step 3: Cross multiply
    102,509.54x = 141,478.74 × 62,215.52
  4. Step 4: Simplify right side
    102,509.54x = 8,802,172,359.57
  5. Step 5: Solve for x
    x = 8,802,172,359.57/102,509.54
  6. Step 6: Final answer
    x = 85,866.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.