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Finding the Fourth Proportional to 155,000, 232,502.16 and 44,192

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Solution

The fourth proportional to 155,000, 232,502.16 and 44,192 is: 66,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,000 : 232,502.16 = 44,192 : x
  2. Step 2: Convert to fraction form
    155,000/232,502.16 = 44,192/x
  3. Step 3: Cross multiply
    155,000x = 232,502.16 × 44,192
  4. Step 4: Simplify right side
    155,000x = 10,274,735,454.72
  5. Step 5: Solve for x
    x = 10,274,735,454.72/155,000
  6. Step 6: Final answer
    x = 66,288.62

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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.