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Finding the Fourth Proportional to 284,002.78, 391,923.82 and 156,678.38

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Solution

The fourth proportional to 284,002.78, 391,923.82 and 156,678.38 is: 216,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,002.78 : 391,923.82 = 156,678.38 : x
  2. Step 2: Convert to fraction form
    284,002.78/391,923.82 = 156,678.38/x
  3. Step 3: Cross multiply
    284,002.78x = 391,923.82 × 156,678.38
  4. Step 4: Simplify right side
    284,002.78x = 61,405,986,923.35
  5. Step 5: Solve for x
    x = 61,405,986,923.35/284,002.78
  6. Step 6: Final answer
    x = 216,216.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.