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Finding the Fourth Proportional to 205,737.28, 283,928.15 and 115,094.76

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Solution

The fourth proportional to 205,737.28, 283,928.15 and 115,094.76 is: 158,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,737.28 : 283,928.15 = 115,094.76 : x
  2. Step 2: Convert to fraction form
    205,737.28/283,928.15 = 115,094.76/x
  3. Step 3: Cross multiply
    205,737.28x = 283,928.15 × 115,094.76
  4. Step 4: Simplify right side
    205,737.28x = 32,678,642,281.49
  5. Step 5: Solve for x
    x = 32,678,642,281.49/205,737.28
  6. Step 6: Final answer
    x = 158,836.76

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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.