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Finding the Fourth Proportional to 416,596.50, 625,001.31 and 121,108.50

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Solution

The fourth proportional to 416,596.50, 625,001.31 and 121,108.50 is: 181,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,596.50 : 625,001.31 = 121,108.50 : x
  2. Step 2: Convert to fraction form
    416,596.50/625,001.31 = 121,108.50/x
  3. Step 3: Cross multiply
    416,596.50x = 625,001.31 × 121,108.50
  4. Step 4: Simplify right side
    416,596.50x = 75,692,971,152.14
  5. Step 5: Solve for x
    x = 75,692,971,152.14/416,596.50
  6. Step 6: Final answer
    x = 181,693.73

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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.