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Finding the Fourth Proportional to 106,565.83, 147,060.12 and 58,819.15

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Solution

The fourth proportional to 106,565.83, 147,060.12 and 58,819.15 is: 81,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.83 : 147,060.12 = 58,819.15 : x
  2. Step 2: Convert to fraction form
    106,565.83/147,060.12 = 58,819.15/x
  3. Step 3: Cross multiply
    106,565.83x = 147,060.12 × 58,819.15
  4. Step 4: Simplify right side
    106,565.83x = 8,649,951,257.30
  5. Step 5: Solve for x
    x = 8,649,951,257.30/106,565.83
  6. Step 6: Final answer
    x = 81,170.03

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Why These Related Problems?

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