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Finding the Fourth Proportional to 283,898.29, 391,680.71 and 181,979.95

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Solution

The fourth proportional to 283,898.29, 391,680.71 and 181,979.95 is: 251,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,898.29 : 391,680.71 = 181,979.95 : x
  2. Step 2: Convert to fraction form
    283,898.29/391,680.71 = 181,979.95/x
  3. Step 3: Cross multiply
    283,898.29x = 391,680.71 × 181,979.95
  4. Step 4: Simplify right side
    283,898.29x = 71,278,038,225.53
  5. Step 5: Solve for x
    x = 71,278,038,225.53/283,898.29
  6. Step 6: Final answer
    x = 251,068.92

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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.