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Finding the Fourth Proportional to 416,782.53, 625,173.78 and 101,237.31

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Solution

The fourth proportional to 416,782.53, 625,173.78 and 101,237.31 is: 151,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,782.53 : 625,173.78 = 101,237.31 : x
  2. Step 2: Convert to fraction form
    416,782.53/625,173.78 = 101,237.31/x
  3. Step 3: Cross multiply
    416,782.53x = 625,173.78 × 101,237.31
  4. Step 4: Simplify right side
    416,782.53x = 63,290,911,769.73
  5. Step 5: Solve for x
    x = 63,290,911,769.73/416,782.53
  6. Step 6: Final answer
    x = 151,855.96

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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.