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Finding the Fourth Proportional to 542,170.53, 813,186.41 and 142,842.15

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Solution

The fourth proportional to 542,170.53, 813,186.41 and 142,842.15 is: 214,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,170.53 : 813,186.41 = 142,842.15 : x
  2. Step 2: Convert to fraction form
    542,170.53/813,186.41 = 142,842.15/x
  3. Step 3: Cross multiply
    542,170.53x = 813,186.41 × 142,842.15
  4. Step 4: Simplify right side
    542,170.53x = 116,157,294,440.97
  5. Step 5: Solve for x
    x = 116,157,294,440.97/542,170.53
  6. Step 6: Final answer
    x = 214,244.94

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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.