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Finding the Fourth Proportional to 134,715, 202,080.60 and 41,221.56

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Solution

The fourth proportional to 134,715, 202,080.60 and 41,221.56 is: 61,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,715 : 202,080.60 = 41,221.56 : x
  2. Step 2: Convert to fraction form
    134,715/202,080.60 = 41,221.56/x
  3. Step 3: Cross multiply
    134,715x = 202,080.60 × 41,221.56
  4. Step 4: Simplify right side
    134,715x = 8,330,077,577.74
  5. Step 5: Solve for x
    x = 8,330,077,577.74/134,715
  6. Step 6: Final answer
    x = 61,834.82

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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.