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Finding the Fourth Proportional to 107,411.60, 161,117.40 and 82,499.60

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Solution

The fourth proportional to 107,411.60, 161,117.40 and 82,499.60 is: 123,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,411.60 : 161,117.40 = 82,499.60 : x
  2. Step 2: Convert to fraction form
    107,411.60/161,117.40 = 82,499.60/x
  3. Step 3: Cross multiply
    107,411.60x = 161,117.40 × 82,499.60
  4. Step 4: Simplify right side
    107,411.60x = 13,292,121,053.04
  5. Step 5: Solve for x
    x = 13,292,121,053.04/107,411.60
  6. Step 6: Final answer
    x = 123,749.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.