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Finding the Fourth Proportional to 154,272.84, 231,444 and 54,440.16

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Solution

The fourth proportional to 154,272.84, 231,444 and 54,440.16 is: 81,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,272.84 : 231,444 = 54,440.16 : x
  2. Step 2: Convert to fraction form
    154,272.84/231,444 = 54,440.16/x
  3. Step 3: Cross multiply
    154,272.84x = 231,444 × 54,440.16
  4. Step 4: Simplify right side
    154,272.84x = 12,599,848,391.04
  5. Step 5: Solve for x
    x = 12,599,848,391.04/154,272.84
  6. Step 6: Final answer
    x = 81,672.50

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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.