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Finding the Fourth Proportional to 116,034.28, 160,127.31 and 65,733.28

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Solution

The fourth proportional to 116,034.28, 160,127.31 and 65,733.28 is: 90,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,034.28 : 160,127.31 = 65,733.28 : x
  2. Step 2: Convert to fraction form
    116,034.28/160,127.31 = 65,733.28/x
  3. Step 3: Cross multiply
    116,034.28x = 160,127.31 × 65,733.28
  4. Step 4: Simplify right side
    116,034.28x = 10,525,693,504.04
  5. Step 5: Solve for x
    x = 10,525,693,504.04/116,034.28
  6. Step 6: Final answer
    x = 90,711.93

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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.