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Finding the Fourth Proportional to 205,034.32, 282,947.40 and 115,610.32

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Solution

The fourth proportional to 205,034.32, 282,947.40 and 115,610.32 is: 159,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034.32 : 282,947.40 = 115,610.32 : x
  2. Step 2: Convert to fraction form
    205,034.32/282,947.40 = 115,610.32/x
  3. Step 3: Cross multiply
    205,034.32x = 282,947.40 × 115,610.32
  4. Step 4: Simplify right side
    205,034.32x = 32,711,639,457.17
  5. Step 5: Solve for x
    x = 32,711,639,457.17/205,034.32
  6. Step 6: Final answer
    x = 159,542.26

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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.