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Finding the Fourth Proportional to 205,542.76, 283,612.68 and 114,869.74

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Solution

The fourth proportional to 205,542.76, 283,612.68 and 114,869.74 is: 158,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,542.76 : 283,612.68 = 114,869.74 : x
  2. Step 2: Convert to fraction form
    205,542.76/283,612.68 = 114,869.74/x
  3. Step 3: Cross multiply
    205,542.76x = 283,612.68 × 114,869.74
  4. Step 4: Simplify right side
    205,542.76x = 32,578,514,812.30
  5. Step 5: Solve for x
    x = 32,578,514,812.30/205,542.76
  6. Step 6: Final answer
    x = 158,499.94

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