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Finding the Fourth Proportional to 323,142.21, 484,934.73 and 112,780.14

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Solution

The fourth proportional to 323,142.21, 484,934.73 and 112,780.14 is: 169,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,142.21 : 484,934.73 = 112,780.14 : x
  2. Step 2: Convert to fraction form
    323,142.21/484,934.73 = 112,780.14/x
  3. Step 3: Cross multiply
    323,142.21x = 484,934.73 × 112,780.14
  4. Step 4: Simplify right side
    323,142.21x = 54,691,006,176.36
  5. Step 5: Solve for x
    x = 54,691,006,176.36/323,142.21
  6. Step 6: Final answer
    x = 169,247.49

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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.