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Finding the Fourth Proportional to 242,264.30, 363,412.65 and 82,337.90

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Solution

The fourth proportional to 242,264.30, 363,412.65 and 82,337.90 is: 123,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,264.30 : 363,412.65 = 82,337.90 : x
  2. Step 2: Convert to fraction form
    242,264.30/363,412.65 = 82,337.90/x
  3. Step 3: Cross multiply
    242,264.30x = 363,412.65 × 82,337.90
  4. Step 4: Simplify right side
    242,264.30x = 29,922,634,434.44
  5. Step 5: Solve for x
    x = 29,922,634,434.44/242,264.30
  6. Step 6: Final answer
    x = 123,512.36

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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.