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Finding the Fourth Proportional to 228,230.40, 342,060.48 and 157,546.56

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Solution

The fourth proportional to 228,230.40, 342,060.48 and 157,546.56 is: 236,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230.40 : 342,060.48 = 157,546.56 : x
  2. Step 2: Convert to fraction form
    228,230.40/342,060.48 = 157,546.56/x
  3. Step 3: Cross multiply
    228,230.40x = 342,060.48 × 157,546.56
  4. Step 4: Simplify right side
    228,230.40x = 53,890,451,935.95
  5. Step 5: Solve for x
    x = 53,890,451,935.95/228,230.40
  6. Step 6: Final answer
    x = 236,123.02

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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.