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Finding the Fourth Proportional to 284,002.82, 391,925.22 and 156,678.38

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Solution

The fourth proportional to 284,002.82, 391,925.22 and 156,678.38 is: 216,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,002.82 : 391,925.22 = 156,678.38 : x
  2. Step 2: Convert to fraction form
    284,002.82/391,925.22 = 156,678.38/x
  3. Step 3: Cross multiply
    284,002.82x = 391,925.22 × 156,678.38
  4. Step 4: Simplify right side
    284,002.82x = 61,406,208,550.74
  5. Step 5: Solve for x
    x = 61,406,208,550.74/284,002.82
  6. Step 6: Final answer
    x = 216,216.90

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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.