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Finding the Fourth Proportional to 194,654.52, 291,967.20 and 54,424.08

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Solution

The fourth proportional to 194,654.52, 291,967.20 and 54,424.08 is: 81,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,654.52 : 291,967.20 = 54,424.08 : x
  2. Step 2: Convert to fraction form
    194,654.52/291,967.20 = 54,424.08/x
  3. Step 3: Cross multiply
    194,654.52x = 291,967.20 × 54,424.08
  4. Step 4: Simplify right side
    194,654.52x = 15,890,046,250.18
  5. Step 5: Solve for x
    x = 15,890,046,250.18/194,654.52
  6. Step 6: Final answer
    x = 81,632.04

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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.