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Finding the Fourth Proportional to 135,200.62, 202,814.84 and 51,031.68

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Solution

The fourth proportional to 135,200.62, 202,814.84 and 51,031.68 is: 76,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200.62 : 202,814.84 = 51,031.68 : x
  2. Step 2: Convert to fraction form
    135,200.62/202,814.84 = 51,031.68/x
  3. Step 3: Cross multiply
    135,200.62x = 202,814.84 × 51,031.68
  4. Step 4: Simplify right side
    135,200.62x = 10,349,982,014.13
  5. Step 5: Solve for x
    x = 10,349,982,014.13/135,200.62
  6. Step 6: Final answer
    x = 76,552.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.