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Finding the Fourth Proportional to 242,243.20, 363,429.60 and 172,259.20

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Solution

The fourth proportional to 242,243.20, 363,429.60 and 172,259.20 is: 258,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,243.20 : 363,429.60 = 172,259.20 : x
  2. Step 2: Convert to fraction form
    242,243.20/363,429.60 = 172,259.20/x
  3. Step 3: Cross multiply
    242,243.20x = 363,429.60 × 172,259.20
  4. Step 4: Simplify right side
    242,243.20x = 62,604,092,152.32
  5. Step 5: Solve for x
    x = 62,604,092,152.32/242,243.20
  6. Step 6: Final answer
    x = 258,434.88

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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.