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Finding the Fourth Proportional to 232,343.20, 347,737.20 and 162,359.20

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Solution

The fourth proportional to 232,343.20, 347,737.20 and 162,359.20 is: 242,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,343.20 : 347,737.20 = 162,359.20 : x
  2. Step 2: Convert to fraction form
    232,343.20/347,737.20 = 162,359.20/x
  3. Step 3: Cross multiply
    232,343.20x = 347,737.20 × 162,359.20
  4. Step 4: Simplify right side
    232,343.20x = 56,458,333,602.24
  5. Step 5: Solve for x
    x = 56,458,333,602.24/232,343.20
  6. Step 6: Final answer
    x = 242,995.42

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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.