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Finding the Fourth Proportional to 116,233.56, 160,420.68 and 70,921.44

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Solution

The fourth proportional to 116,233.56, 160,420.68 and 70,921.44 is: 97,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,233.56 : 160,420.68 = 70,921.44 : x
  2. Step 2: Convert to fraction form
    116,233.56/160,420.68 = 70,921.44/x
  3. Step 3: Cross multiply
    116,233.56x = 160,420.68 × 70,921.44
  4. Step 4: Simplify right side
    116,233.56x = 11,377,265,631.38
  5. Step 5: Solve for x
    x = 11,377,265,631.38/116,233.56
  6. Step 6: Final answer
    x = 97,882.79

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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.