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Finding the Fourth Proportional to 106,902.60, 147,514.92 and 59,149.32

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Solution

The fourth proportional to 106,902.60, 147,514.92 and 59,149.32 is: 81,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,902.60 : 147,514.92 = 59,149.32 : x
  2. Step 2: Convert to fraction form
    106,902.60/147,514.92 = 59,149.32/x
  3. Step 3: Cross multiply
    106,902.60x = 147,514.92 × 59,149.32
  4. Step 4: Simplify right side
    106,902.60x = 8,725,407,207.85
  5. Step 5: Solve for x
    x = 8,725,407,207.85/106,902.60
  6. Step 6: Final answer
    x = 81,620.16

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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.