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Finding the Fourth Proportional to 134,847.56, 202,212.51 and 71,652.47

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Solution

The fourth proportional to 134,847.56, 202,212.51 and 71,652.47 is: 107,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,847.56 : 202,212.51 = 71,652.47 : x
  2. Step 2: Convert to fraction form
    134,847.56/202,212.51 = 71,652.47/x
  3. Step 3: Cross multiply
    134,847.56x = 202,212.51 × 71,652.47
  4. Step 4: Simplify right side
    134,847.56x = 14,489,024,795.34
  5. Step 5: Solve for x
    x = 14,489,024,795.34/134,847.56
  6. Step 6: Final answer
    x = 107,447.44

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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.