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Finding the Fourth Proportional to 194,751.31, 292,164.84 and 74,799.48

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Solution

The fourth proportional to 194,751.31, 292,164.84 and 74,799.48 is: 112,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.31 : 292,164.84 = 74,799.48 : x
  2. Step 2: Convert to fraction form
    194,751.31/292,164.84 = 74,799.48/x
  3. Step 3: Cross multiply
    194,751.31x = 292,164.84 × 74,799.48
  4. Step 4: Simplify right side
    194,751.31x = 21,853,778,827.90
  5. Step 5: Solve for x
    x = 21,853,778,827.90/194,751.31
  6. Step 6: Final answer
    x = 112,213.77

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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.