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Finding the Fourth Proportional to 116,034.92, 160,157.22 and 71,297

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Solution

The fourth proportional to 116,034.92, 160,157.22 and 71,297 is: 98,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,034.92 : 160,157.22 = 71,297 : x
  2. Step 2: Convert to fraction form
    116,034.92/160,157.22 = 71,297/x
  3. Step 3: Cross multiply
    116,034.92x = 160,157.22 × 71,297
  4. Step 4: Simplify right side
    116,034.92x = 11,418,729,314.34
  5. Step 5: Solve for x
    x = 11,418,729,314.34/116,034.92
  6. Step 6: Final answer
    x = 98,407.70

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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.