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Finding the Fourth Proportional to 107,201.52, 147,802.14 and 76,611.15

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Solution

The fourth proportional to 107,201.52, 147,802.14 and 76,611.15 is: 105,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,201.52 : 147,802.14 = 76,611.15 : x
  2. Step 2: Convert to fraction form
    107,201.52/147,802.14 = 76,611.15/x
  3. Step 3: Cross multiply
    107,201.52x = 147,802.14 × 76,611.15
  4. Step 4: Simplify right side
    107,201.52x = 11,323,291,917.86
  5. Step 5: Solve for x
    x = 11,323,291,917.86/107,201.52
  6. Step 6: Final answer
    x = 105,626.23

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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.