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Finding the Fourth Proportional to 361,496.19, 542,245.02 and 148,224.81

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Solution

The fourth proportional to 361,496.19, 542,245.02 and 148,224.81 is: 222,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,496.19 : 542,245.02 = 148,224.81 : x
  2. Step 2: Convert to fraction form
    361,496.19/542,245.02 = 148,224.81/x
  3. Step 3: Cross multiply
    361,496.19x = 542,245.02 × 148,224.81
  4. Step 4: Simplify right side
    361,496.19x = 80,374,165,062.95
  5. Step 5: Solve for x
    x = 80,374,165,062.95/361,496.19
  6. Step 6: Final answer
    x = 222,337.52

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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.