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Finding the Fourth Proportional to 154,522.32, 231,765.48 and 42,198

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Solution

The fourth proportional to 154,522.32, 231,765.48 and 42,198 is: 63,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,522.32 : 231,765.48 = 42,198 : x
  2. Step 2: Convert to fraction form
    154,522.32/231,765.48 = 42,198/x
  3. Step 3: Cross multiply
    154,522.32x = 231,765.48 × 42,198
  4. Step 4: Simplify right side
    154,522.32x = 9,780,039,725.04
  5. Step 5: Solve for x
    x = 9,780,039,725.04/154,522.32
  6. Step 6: Final answer
    x = 63,292.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.