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Finding the Fourth Proportional to 242,332, 363,531.12 and 84,536.80

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Solution

The fourth proportional to 242,332, 363,531.12 and 84,536.80 is: 126,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,332 : 363,531.12 = 84,536.80 : x
  2. Step 2: Convert to fraction form
    242,332/363,531.12 = 84,536.80/x
  3. Step 3: Cross multiply
    242,332x = 363,531.12 × 84,536.80
  4. Step 4: Simplify right side
    242,332x = 30,731,757,585.22
  5. Step 5: Solve for x
    x = 30,731,757,585.22/242,332
  6. Step 6: Final answer
    x = 126,816.75

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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.