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Finding the Fourth Proportional to 154,351.97, 231,527.96 and 101,749.16

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Solution

The fourth proportional to 154,351.97, 231,527.96 and 101,749.16 is: 152,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,351.97 : 231,527.96 = 101,749.16 : x
  2. Step 2: Convert to fraction form
    154,351.97/231,527.96 = 101,749.16/x
  3. Step 3: Cross multiply
    154,351.97x = 231,527.96 × 101,749.16
  4. Step 4: Simplify right side
    154,351.97x = 23,557,773,780.13
  5. Step 5: Solve for x
    x = 23,557,773,780.13/154,351.97
  6. Step 6: Final answer
    x = 152,623.74

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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.