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Finding the Fourth Proportional to 381,036.54, 571,554.96 and 114,797.10

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Solution

The fourth proportional to 381,036.54, 571,554.96 and 114,797.10 is: 172,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,036.54 : 571,554.96 = 114,797.10 : x
  2. Step 2: Convert to fraction form
    381,036.54/571,554.96 = 114,797.10/x
  3. Step 3: Cross multiply
    381,036.54x = 571,554.96 × 114,797.10
  4. Step 4: Simplify right side
    381,036.54x = 65,612,851,898.62
  5. Step 5: Solve for x
    x = 65,612,851,898.62/381,036.54
  6. Step 6: Final answer
    x = 172,195.70

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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.