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Finding the Fourth Proportional to 242,164.85, 363,243.60 and 108,951.02

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Solution

The fourth proportional to 242,164.85, 363,243.60 and 108,951.02 is: 163,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,164.85 : 363,243.60 = 108,951.02 : x
  2. Step 2: Convert to fraction form
    242,164.85/363,243.60 = 108,951.02/x
  3. Step 3: Cross multiply
    242,164.85x = 363,243.60 × 108,951.02
  4. Step 4: Simplify right side
    242,164.85x = 39,575,760,728.47
  5. Step 5: Solve for x
    x = 39,575,760,728.47/242,164.85
  6. Step 6: Final answer
    x = 163,424.88

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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.