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Finding the Fourth Proportional to 205,177.62, 283,159.35 and 114,551.40

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Solution

The fourth proportional to 205,177.62, 283,159.35 and 114,551.40 is: 158,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,177.62 : 283,159.35 = 114,551.40 : x
  2. Step 2: Convert to fraction form
    205,177.62/283,159.35 = 114,551.40/x
  3. Step 3: Cross multiply
    205,177.62x = 283,159.35 × 114,551.40
  4. Step 4: Simplify right side
    205,177.62x = 32,436,299,965.59
  5. Step 5: Solve for x
    x = 32,436,299,965.59/205,177.62
  6. Step 6: Final answer
    x = 158,088.88

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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.