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Finding the Fourth Proportional to 283,990.25, 391,900.24 and 156,665.81

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Solution

The fourth proportional to 283,990.25, 391,900.24 and 156,665.81 is: 216,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,990.25 : 391,900.24 = 156,665.81 : x
  2. Step 2: Convert to fraction form
    283,990.25/391,900.24 = 156,665.81/x
  3. Step 3: Cross multiply
    283,990.25x = 391,900.24 × 156,665.81
  4. Step 4: Simplify right side
    283,990.25x = 61,397,369,714.38
  5. Step 5: Solve for x
    x = 61,397,369,714.38/283,990.25
  6. Step 6: Final answer
    x = 216,195.34

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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.