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Finding the Fourth Proportional to 232,470.55, 348,541.80 and 106,171.30

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Solution

The fourth proportional to 232,470.55, 348,541.80 and 106,171.30 is: 159,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,470.55 : 348,541.80 = 106,171.30 : x
  2. Step 2: Convert to fraction form
    232,470.55/348,541.80 = 106,171.30/x
  3. Step 3: Cross multiply
    232,470.55x = 348,541.80 × 106,171.30
  4. Step 4: Simplify right side
    232,470.55x = 37,005,136,010.34
  5. Step 5: Solve for x
    x = 37,005,136,010.34/232,470.55
  6. Step 6: Final answer
    x = 159,182.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.