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Finding the Fourth Proportional to 154,662, 231,756.84 and 110,382

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Solution

The fourth proportional to 154,662, 231,756.84 and 110,382 is: 165,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,662 : 231,756.84 = 110,382 : x
  2. Step 2: Convert to fraction form
    154,662/231,756.84 = 110,382/x
  3. Step 3: Cross multiply
    154,662x = 231,756.84 × 110,382
  4. Step 4: Simplify right side
    154,662x = 25,581,783,512.88
  5. Step 5: Solve for x
    x = 25,581,783,512.88/154,662
  6. Step 6: Final answer
    x = 165,404.45

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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.