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Finding the Fourth Proportional to 99,101.32, 136,759.14 and 53,778.16

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Solution

The fourth proportional to 99,101.32, 136,759.14 and 53,778.16 is: 74,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,101.32 : 136,759.14 = 53,778.16 : x
  2. Step 2: Convert to fraction form
    99,101.32/136,759.14 = 53,778.16/x
  3. Step 3: Cross multiply
    99,101.32x = 136,759.14 × 53,778.16
  4. Step 4: Simplify right side
    99,101.32x = 7,354,654,912.38
  5. Step 5: Solve for x
    x = 7,354,654,912.38/99,101.32
  6. Step 6: Final answer
    x = 74,213.49

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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.