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Finding the Fourth Proportional to 232,007.20, 347,233.20 and 162,023.20

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Solution

The fourth proportional to 232,007.20, 347,233.20 and 162,023.20 is: 242,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,007.20 : 347,233.20 = 162,023.20 : x
  2. Step 2: Convert to fraction form
    232,007.20/347,233.20 = 162,023.20/x
  3. Step 3: Cross multiply
    232,007.20x = 347,233.20 × 162,023.20
  4. Step 4: Simplify right side
    232,007.20x = 56,259,834,210.24
  5. Step 5: Solve for x
    x = 56,259,834,210.24/232,007.20
  6. Step 6: Final answer
    x = 242,491.76

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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.