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Finding the Fourth Proportional to 205,106.17, 283,060.73 and 114,479.79

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Solution

The fourth proportional to 205,106.17, 283,060.73 and 114,479.79 is: 157,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,106.17 : 283,060.73 = 114,479.79 : x
  2. Step 2: Convert to fraction form
    205,106.17/283,060.73 = 114,479.79/x
  3. Step 3: Cross multiply
    205,106.17x = 283,060.73 × 114,479.79
  4. Step 4: Simplify right side
    205,106.17x = 32,404,732,355.25
  5. Step 5: Solve for x
    x = 32,404,732,355.25/205,106.17
  6. Step 6: Final answer
    x = 157,990.05

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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.