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Finding the Fourth Proportional to 230,178.31, 317,641.17 and 128,203.45

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Solution

The fourth proportional to 230,178.31, 317,641.17 and 128,203.45 is: 176,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,178.31 : 317,641.17 = 128,203.45 : x
  2. Step 2: Convert to fraction form
    230,178.31/317,641.17 = 128,203.45/x
  3. Step 3: Cross multiply
    230,178.31x = 317,641.17 × 128,203.45
  4. Step 4: Simplify right side
    230,178.31x = 40,722,693,856.04
  5. Step 5: Solve for x
    x = 40,722,693,856.04/230,178.31
  6. Step 6: Final answer
    x = 176,918.03

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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.