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Finding the Fourth Proportional to 361,775.37, 542,656.58 and 148,496.97

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Solution

The fourth proportional to 361,775.37, 542,656.58 and 148,496.97 is: 222,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,775.37 : 542,656.58 = 148,496.97 : x
  2. Step 2: Convert to fraction form
    361,775.37/542,656.58 = 148,496.97/x
  3. Step 3: Cross multiply
    361,775.37x = 542,656.58 × 148,496.97
  4. Step 4: Simplify right side
    361,775.37x = 80,582,857,138.08
  5. Step 5: Solve for x
    x = 80,582,857,138.08/361,775.37
  6. Step 6: Final answer
    x = 222,742.80

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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.