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Finding the Fourth Proportional to 232,339.20, 347,731.20 and 162,355.20

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Solution

The fourth proportional to 232,339.20, 347,731.20 and 162,355.20 is: 242,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,339.20 : 347,731.20 = 162,355.20 : x
  2. Step 2: Convert to fraction form
    232,339.20/347,731.20 = 162,355.20/x
  3. Step 3: Cross multiply
    232,339.20x = 347,731.20 × 162,355.20
  4. Step 4: Simplify right side
    232,339.20x = 56,455,968,522.24
  5. Step 5: Solve for x
    x = 56,455,968,522.24/232,339.20
  6. Step 6: Final answer
    x = 242,989.42

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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.