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Finding the Fourth Proportional to 232,345.20, 347,740.20 and 162,361.20

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Solution

The fourth proportional to 232,345.20, 347,740.20 and 162,361.20 is: 242,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,345.20 : 347,740.20 = 162,361.20 : x
  2. Step 2: Convert to fraction form
    232,345.20/347,740.20 = 162,361.20/x
  3. Step 3: Cross multiply
    232,345.20x = 347,740.20 × 162,361.20
  4. Step 4: Simplify right side
    232,345.20x = 56,459,516,160.24
  5. Step 5: Solve for x
    x = 56,459,516,160.24/232,345.20
  6. Step 6: Final answer
    x = 242,998.42

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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.