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Finding the Fourth Proportional to 205,158.62, 283,133.14 and 114,532.40

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Solution

The fourth proportional to 205,158.62, 283,133.14 and 114,532.40 is: 158,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,158.62 : 283,133.14 = 114,532.40 : x
  2. Step 2: Convert to fraction form
    205,158.62/283,133.14 = 114,532.40/x
  3. Step 3: Cross multiply
    205,158.62x = 283,133.14 × 114,532.40
  4. Step 4: Simplify right side
    205,158.62x = 32,427,918,043.74
  5. Step 5: Solve for x
    x = 32,427,918,043.74/205,158.62
  6. Step 6: Final answer
    x = 158,062.66

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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.