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Finding the Fourth Proportional to 205,139, 283,092.18 and 115,715

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Solution

The fourth proportional to 205,139, 283,092.18 and 115,715 is: 159,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139 : 283,092.18 = 115,715 : x
  2. Step 2: Convert to fraction form
    205,139/283,092.18 = 115,715/x
  3. Step 3: Cross multiply
    205,139x = 283,092.18 × 115,715
  4. Step 4: Simplify right side
    205,139x = 32,758,011,608.70
  5. Step 5: Solve for x
    x = 32,758,011,608.70/205,139
  6. Step 6: Final answer
    x = 159,686.90

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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.