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Finding the Fourth Proportional to 154,656, 231,818.16 and 101,327.84

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Solution

The fourth proportional to 154,656, 231,818.16 and 101,327.84 is: 151,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,656 : 231,818.16 = 101,327.84 : x
  2. Step 2: Convert to fraction form
    154,656/231,818.16 = 101,327.84/x
  3. Step 3: Cross multiply
    154,656x = 231,818.16 × 101,327.84
  4. Step 4: Simplify right side
    154,656x = 23,489,633,425.57
  5. Step 5: Solve for x
    x = 23,489,633,425.57/154,656
  6. Step 6: Final answer
    x = 151,883.10

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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.