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Finding the Fourth Proportional to 242,324.80, 363,544.80 and 102,011.20

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Solution

The fourth proportional to 242,324.80, 363,544.80 and 102,011.20 is: 153,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,324.80 : 363,544.80 = 102,011.20 : x
  2. Step 2: Convert to fraction form
    242,324.80/363,544.80 = 102,011.20/x
  3. Step 3: Cross multiply
    242,324.80x = 363,544.80 × 102,011.20
  4. Step 4: Simplify right side
    242,324.80x = 37,085,641,301.76
  5. Step 5: Solve for x
    x = 37,085,641,301.76/242,324.80
  6. Step 6: Final answer
    x = 153,041.05

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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.