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Finding the Fourth Proportional to 153,592.78, 230,354.61 and 55,096.78

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Solution

The fourth proportional to 153,592.78, 230,354.61 and 55,096.78 is: 82,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,592.78 : 230,354.61 = 55,096.78 : x
  2. Step 2: Convert to fraction form
    153,592.78/230,354.61 = 55,096.78/x
  3. Step 3: Cross multiply
    153,592.78x = 230,354.61 × 55,096.78
  4. Step 4: Simplify right side
    153,592.78x = 12,691,797,269.16
  5. Step 5: Solve for x
    x = 12,691,797,269.16/153,592.78
  6. Step 6: Final answer
    x = 82,632.77

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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.