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Finding the Fourth Proportional to 194,751.65, 292,165.35 and 74,799.83

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Solution

The fourth proportional to 194,751.65, 292,165.35 and 74,799.83 is: 112,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.65 : 292,165.35 = 74,799.83 : x
  2. Step 2: Convert to fraction form
    194,751.65/292,165.35 = 74,799.83/x
  3. Step 3: Cross multiply
    194,751.65x = 292,165.35 × 74,799.83
  4. Step 4: Simplify right side
    194,751.65x = 21,853,918,146.68
  5. Step 5: Solve for x
    x = 21,853,918,146.68/194,751.65
  6. Step 6: Final answer
    x = 112,214.29

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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.