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Finding the Fourth Proportional to 153,102.50, 229,691.42 and 53,263.55

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Solution

The fourth proportional to 153,102.50, 229,691.42 and 53,263.55 is: 79,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,102.50 : 229,691.42 = 53,263.55 : x
  2. Step 2: Convert to fraction form
    153,102.50/229,691.42 = 53,263.55/x
  3. Step 3: Cross multiply
    153,102.50x = 229,691.42 × 53,263.55
  4. Step 4: Simplify right side
    153,102.50x = 12,234,179,018.97
  5. Step 5: Solve for x
    x = 12,234,179,018.97/153,102.50
  6. Step 6: Final answer
    x = 79,908.42

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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.