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Finding the Fourth Proportional to 142,049.68, 213,019.14 and 53,254.78

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Solution

The fourth proportional to 142,049.68, 213,019.14 and 53,254.78 is: 79,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,049.68 : 213,019.14 = 53,254.78 : x
  2. Step 2: Convert to fraction form
    142,049.68/213,019.14 = 53,254.78/x
  3. Step 3: Cross multiply
    142,049.68x = 213,019.14 × 53,254.78
  4. Step 4: Simplify right side
    142,049.68x = 11,344,287,436.49
  5. Step 5: Solve for x
    x = 11,344,287,436.49/142,049.68
  6. Step 6: Final answer
    x = 79,861.41

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1.5x scale

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.