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Finding the Fourth Proportional to 194,059.52, 291,213.60 and 127,633.28

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Solution

The fourth proportional to 194,059.52, 291,213.60 and 127,633.28 is: 191,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,059.52 : 291,213.60 = 127,633.28 : x
  2. Step 2: Convert to fraction form
    194,059.52/291,213.60 = 127,633.28/x
  3. Step 3: Cross multiply
    194,059.52x = 291,213.60 × 127,633.28
  4. Step 4: Simplify right side
    194,059.52x = 37,168,546,948.61
  5. Step 5: Solve for x
    x = 37,168,546,948.61/194,059.52
  6. Step 6: Final answer
    x = 191,531.69

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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.