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Finding the Fourth Proportional to 416,729.92, 625,090.24 and 101,186.56

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Solution

The fourth proportional to 416,729.92, 625,090.24 and 101,186.56 is: 151,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,729.92 : 625,090.24 = 101,186.56 : x
  2. Step 2: Convert to fraction form
    416,729.92/625,090.24 = 101,186.56/x
  3. Step 3: Cross multiply
    416,729.92x = 625,090.24 × 101,186.56
  4. Step 4: Simplify right side
    416,729.92x = 63,250,731,075.17
  5. Step 5: Solve for x
    x = 63,250,731,075.17/416,729.92
  6. Step 6: Final answer
    x = 151,778.71

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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.