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Finding the Fourth Proportional to 116,314.20, 160,531.20 and 71,018.64

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Solution

The fourth proportional to 116,314.20, 160,531.20 and 71,018.64 is: 98,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,314.20 : 160,531.20 = 71,018.64 : x
  2. Step 2: Convert to fraction form
    116,314.20/160,531.20 = 71,018.64/x
  3. Step 3: Cross multiply
    116,314.20x = 160,531.20 × 71,018.64
  4. Step 4: Simplify right side
    116,314.20x = 11,400,707,501.57
  5. Step 5: Solve for x
    x = 11,400,707,501.57/116,314.20
  6. Step 6: Final answer
    x = 98,016.47

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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.