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Finding the Fourth Proportional to 283,898.84, 391,789.16 and 163,064.38

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Solution

The fourth proportional to 283,898.84, 391,789.16 and 163,064.38 is: 225,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,898.84 : 391,789.16 = 163,064.38 : x
  2. Step 2: Convert to fraction form
    283,898.84/391,789.16 = 163,064.38/x
  3. Step 3: Cross multiply
    283,898.84x = 391,789.16 × 163,064.38
  4. Step 4: Simplify right side
    283,898.84x = 63,886,856,466.12
  5. Step 5: Solve for x
    x = 63,886,856,466.12/283,898.84
  6. Step 6: Final answer
    x = 225,033.88

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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.