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Finding the Fourth Proportional to 100,349.96, 138,369.42 and 64,002.80

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Solution

The fourth proportional to 100,349.96, 138,369.42 and 64,002.80 is: 88,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,349.96 : 138,369.42 = 64,002.80 : x
  2. Step 2: Convert to fraction form
    100,349.96/138,369.42 = 64,002.80/x
  3. Step 3: Cross multiply
    100,349.96x = 138,369.42 × 64,002.80
  4. Step 4: Simplify right side
    100,349.96x = 8,856,030,314.38
  5. Step 5: Solve for x
    x = 8,856,030,314.38/100,349.96
  6. Step 6: Final answer
    x = 88,251.46

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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.