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Finding the Fourth Proportional to 242,206.80, 363,206.52 and 76,007.76

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Solution

The fourth proportional to 242,206.80, 363,206.52 and 76,007.76 is: 113,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,206.80 : 363,206.52 = 76,007.76 : x
  2. Step 2: Convert to fraction form
    242,206.80/363,206.52 = 76,007.76/x
  3. Step 3: Cross multiply
    242,206.80x = 363,206.52 × 76,007.76
  4. Step 4: Simplify right side
    242,206.80x = 27,606,514,002.60
  5. Step 5: Solve for x
    x = 27,606,514,002.60/242,206.80
  6. Step 6: Final answer
    x = 113,979.10

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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.