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Finding the Fourth Proportional to 542,114.56, 813,218.82 and 142,752.16

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Solution

The fourth proportional to 542,114.56, 813,218.82 and 142,752.16 is: 214,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,114.56 : 813,218.82 = 142,752.16 : x
  2. Step 2: Convert to fraction form
    542,114.56/813,218.82 = 142,752.16/x
  3. Step 3: Cross multiply
    542,114.56x = 813,218.82 × 142,752.16
  4. Step 4: Simplify right side
    542,114.56x = 116,088,743,107.65
  5. Step 5: Solve for x
    x = 116,088,743,107.65/542,114.56
  6. Step 6: Final answer
    x = 214,140.61

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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.