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Finding the Fourth Proportional to 154,321.59, 231,482.97 and 54,427.53

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Solution

The fourth proportional to 154,321.59, 231,482.97 and 54,427.53 is: 81,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,321.59 : 231,482.97 = 54,427.53 : x
  2. Step 2: Convert to fraction form
    154,321.59/231,482.97 = 54,427.53/x
  3. Step 3: Cross multiply
    154,321.59x = 231,482.97 × 54,427.53
  4. Step 4: Simplify right side
    154,321.59x = 12,599,046,294.16
  5. Step 5: Solve for x
    x = 12,599,046,294.16/154,321.59
  6. Step 6: Final answer
    x = 81,641.50

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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.