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Finding the Fourth Proportional to 232,596.70, 349,223.10 and 144,023.20

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Solution

The fourth proportional to 232,596.70, 349,223.10 and 144,023.20 is: 216,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,596.70 : 349,223.10 = 144,023.20 : x
  2. Step 2: Convert to fraction form
    232,596.70/349,223.10 = 144,023.20/x
  3. Step 3: Cross multiply
    232,596.70x = 349,223.10 × 144,023.20
  4. Step 4: Simplify right side
    232,596.70x = 50,296,228,375.92
  5. Step 5: Solve for x
    x = 50,296,228,375.92/232,596.70
  6. Step 6: Final answer
    x = 216,237.93

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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.