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Finding the Fourth Proportional to 142,861.32, 214,270.92 and 37,687.68

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Solution

The fourth proportional to 142,861.32, 214,270.92 and 37,687.68 is: 56,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,861.32 : 214,270.92 = 37,687.68 : x
  2. Step 2: Convert to fraction form
    142,861.32/214,270.92 = 37,687.68/x
  3. Step 3: Cross multiply
    142,861.32x = 214,270.92 × 37,687.68
  4. Step 4: Simplify right side
    142,861.32x = 8,075,373,866.27
  5. Step 5: Solve for x
    x = 8,075,373,866.27/142,861.32
  6. Step 6: Final answer
    x = 56,525.96

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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.