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Finding the Fourth Proportional to 103,512.92, 142,825.02 and 65,842.52

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Solution

The fourth proportional to 103,512.92, 142,825.02 and 65,842.52 is: 90,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,512.92 : 142,825.02 = 65,842.52 : x
  2. Step 2: Convert to fraction form
    103,512.92/142,825.02 = 65,842.52/x
  3. Step 3: Cross multiply
    103,512.92x = 142,825.02 × 65,842.52
  4. Step 4: Simplify right side
    103,512.92x = 9,403,959,235.85
  5. Step 5: Solve for x
    x = 9,403,959,235.85/103,512.92
  6. Step 6: Final answer
    x = 90,848.17

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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.