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Finding the Fourth Proportional to 232,341.20, 347,734.20 and 162,357.20

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Solution

The fourth proportional to 232,341.20, 347,734.20 and 162,357.20 is: 242,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,341.20 : 347,734.20 = 162,357.20 : x
  2. Step 2: Convert to fraction form
    232,341.20/347,734.20 = 162,357.20/x
  3. Step 3: Cross multiply
    232,341.20x = 347,734.20 × 162,357.20
  4. Step 4: Simplify right side
    232,341.20x = 56,457,151,056.24
  5. Step 5: Solve for x
    x = 56,457,151,056.24/232,341.20
  6. Step 6: Final answer
    x = 242,992.42

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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.