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Finding the Fourth Proportional to 102,866.35, 141,984.12 and 59,854.15

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Solution

The fourth proportional to 102,866.35, 141,984.12 and 59,854.15 is: 82,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866.35 : 141,984.12 = 59,854.15 : x
  2. Step 2: Convert to fraction form
    102,866.35/141,984.12 = 59,854.15/x
  3. Step 3: Cross multiply
    102,866.35x = 141,984.12 × 59,854.15
  4. Step 4: Simplify right side
    102,866.35x = 8,498,338,816.10
  5. Step 5: Solve for x
    x = 8,498,338,816.10/102,866.35
  6. Step 6: Final answer
    x = 82,615.34

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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.