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Finding the Fourth Proportional to 194,476.80, 291,254.40 and 119,827.20

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Solution

The fourth proportional to 194,476.80, 291,254.40 and 119,827.20 is: 179,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,476.80 : 291,254.40 = 119,827.20 : x
  2. Step 2: Convert to fraction form
    194,476.80/291,254.40 = 119,827.20/x
  3. Step 3: Cross multiply
    194,476.80x = 291,254.40 × 119,827.20
  4. Step 4: Simplify right side
    194,476.80x = 34,900,199,239.68
  5. Step 5: Solve for x
    x = 34,900,199,239.68/194,476.80
  6. Step 6: Final answer
    x = 179,456.88

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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.