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Finding the Fourth Proportional to 116,042.60, 160,127.88 and 65,741.60

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Solution

The fourth proportional to 116,042.60, 160,127.88 and 65,741.60 is: 90,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,042.60 : 160,127.88 = 65,741.60 : x
  2. Step 2: Convert to fraction form
    116,042.60/160,127.88 = 65,741.60/x
  3. Step 3: Cross multiply
    116,042.60x = 160,127.88 × 65,741.60
  4. Step 4: Simplify right side
    116,042.60x = 10,527,063,035.81
  5. Step 5: Solve for x
    x = 10,527,063,035.81/116,042.60
  6. Step 6: Final answer
    x = 90,717.23

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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.