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Finding the Fourth Proportional to 242,284.80, 363,443.40 and 82,358.40

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Solution

The fourth proportional to 242,284.80, 363,443.40 and 82,358.40 is: 123,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,284.80 : 363,443.40 = 82,358.40 : x
  2. Step 2: Convert to fraction form
    242,284.80/363,443.40 = 82,358.40/x
  3. Step 3: Cross multiply
    242,284.80x = 363,443.40 × 82,358.40
  4. Step 4: Simplify right side
    242,284.80x = 29,932,616,914.56
  5. Step 5: Solve for x
    x = 29,932,616,914.56/242,284.80
  6. Step 6: Final answer
    x = 123,543.11

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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.