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Finding the Fourth Proportional to 156,232, 234,387.96 and 45,424

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Solution

The fourth proportional to 156,232, 234,387.96 and 45,424 is: 68,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,232 : 234,387.96 = 45,424 : x
  2. Step 2: Convert to fraction form
    156,232/234,387.96 = 45,424/x
  3. Step 3: Cross multiply
    156,232x = 234,387.96 × 45,424
  4. Step 4: Simplify right side
    156,232x = 10,646,838,695.04
  5. Step 5: Solve for x
    x = 10,646,838,695.04/156,232
  6. Step 6: Final answer
    x = 68,147.62

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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.