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Finding the Fourth Proportional to 116,507.08, 160,778.23 and 65,519.79

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Solution

The fourth proportional to 116,507.08, 160,778.23 and 65,519.79 is: 90,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,507.08 : 160,778.23 = 65,519.79 : x
  2. Step 2: Convert to fraction form
    116,507.08/160,778.23 = 65,519.79/x
  3. Step 3: Cross multiply
    116,507.08x = 160,778.23 × 65,519.79
  4. Step 4: Simplify right side
    116,507.08x = 10,534,156,372.38
  5. Step 5: Solve for x
    x = 10,534,156,372.38/116,507.08
  6. Step 6: Final answer
    x = 90,416.45

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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.