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Finding the Fourth Proportional to 142,793.80, 214,190.70 and 59,687.80

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Solution

The fourth proportional to 142,793.80, 214,190.70 and 59,687.80 is: 89,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,793.80 : 214,190.70 = 59,687.80 : x
  2. Step 2: Convert to fraction form
    142,793.80/214,190.70 = 59,687.80/x
  3. Step 3: Cross multiply
    142,793.80x = 214,190.70 × 59,687.80
  4. Step 4: Simplify right side
    142,793.80x = 12,784,571,663.46
  5. Step 5: Solve for x
    x = 12,784,571,663.46/142,793.80
  6. Step 6: Final answer
    x = 89,531.70

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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.