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Finding the Fourth Proportional to 154,753.84, 232,165.61 and 54,913.88

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Solution

The fourth proportional to 154,753.84, 232,165.61 and 54,913.88 is: 82,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,753.84 : 232,165.61 = 54,913.88 : x
  2. Step 2: Convert to fraction form
    154,753.84/232,165.61 = 54,913.88/x
  3. Step 3: Cross multiply
    154,753.84x = 232,165.61 × 54,913.88
  4. Step 4: Simplify right side
    154,753.84x = 12,749,114,959.44
  5. Step 5: Solve for x
    x = 12,749,114,959.44/154,753.84
  6. Step 6: Final answer
    x = 82,383.19

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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.