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Finding the Fourth Proportional to 362,182.10, 542,940.54 and 125,359.16

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Solution

The fourth proportional to 362,182.10, 542,940.54 and 125,359.16 is: 187,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,182.10 : 542,940.54 = 125,359.16 : x
  2. Step 2: Convert to fraction form
    362,182.10/542,940.54 = 125,359.16/x
  3. Step 3: Cross multiply
    362,182.10x = 542,940.54 × 125,359.16
  4. Step 4: Simplify right side
    362,182.10x = 68,062,570,024.35
  5. Step 5: Solve for x
    x = 68,062,570,024.35/362,182.10
  6. Step 6: Final answer
    x = 187,923.62

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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.