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Finding the Fourth Proportional to 153,759.78, 230,641.20 and 53,922.42

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Solution

The fourth proportional to 153,759.78, 230,641.20 and 53,922.42 is: 80,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,759.78 : 230,641.20 = 53,922.42 : x
  2. Step 2: Convert to fraction form
    153,759.78/230,641.20 = 53,922.42/x
  3. Step 3: Cross multiply
    153,759.78x = 230,641.20 × 53,922.42
  4. Step 4: Simplify right side
    153,759.78x = 12,436,731,655.70
  5. Step 5: Solve for x
    x = 12,436,731,655.70/153,759.78
  6. Step 6: Final answer
    x = 80,884.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.