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Finding the Fourth Proportional to 361,528.70, 542,168.06 and 148,236.06

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Solution

The fourth proportional to 361,528.70, 542,168.06 and 148,236.06 is: 222,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,528.70 : 542,168.06 = 148,236.06 : x
  2. Step 2: Convert to fraction form
    361,528.70/542,168.06 = 148,236.06/x
  3. Step 3: Cross multiply
    361,528.70x = 542,168.06 × 148,236.06
  4. Step 4: Simplify right side
    361,528.70x = 80,368,856,331.06
  5. Step 5: Solve for x
    x = 80,368,856,331.06/361,528.70
  6. Step 6: Final answer
    x = 222,302.84

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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.