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Finding the Fourth Proportional to 242,573.08, 363,929.82 and 100,392.10

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Solution

The fourth proportional to 242,573.08, 363,929.82 and 100,392.10 is: 150,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,573.08 : 363,929.82 = 100,392.10 : x
  2. Step 2: Convert to fraction form
    242,573.08/363,929.82 = 100,392.10/x
  3. Step 3: Cross multiply
    242,573.08x = 363,929.82 × 100,392.10
  4. Step 4: Simplify right side
    242,573.08x = 36,535,678,882.42
  5. Step 5: Solve for x
    x = 36,535,678,882.42/242,573.08
  6. Step 6: Final answer
    x = 150,617.20

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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.