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Finding the Fourth Proportional to 242,637.60, 363,967.20 and 82,711.20

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Solution

The fourth proportional to 242,637.60, 363,967.20 and 82,711.20 is: 124,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,637.60 : 363,967.20 = 82,711.20 : x
  2. Step 2: Convert to fraction form
    242,637.60/363,967.20 = 82,711.20/x
  3. Step 3: Cross multiply
    242,637.60x = 363,967.20 × 82,711.20
  4. Step 4: Simplify right side
    242,637.60x = 30,104,163,872.64
  5. Step 5: Solve for x
    x = 30,104,163,872.64/242,637.60
  6. Step 6: Final answer
    x = 124,070.48

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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.