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Finding the Fourth Proportional to 195,073.68, 292,577.31 and 54,799.50

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Solution

The fourth proportional to 195,073.68, 292,577.31 and 54,799.50 is: 82,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,073.68 : 292,577.31 = 54,799.50 : x
  2. Step 2: Convert to fraction form
    195,073.68/292,577.31 = 54,799.50/x
  3. Step 3: Cross multiply
    195,073.68x = 292,577.31 × 54,799.50
  4. Step 4: Simplify right side
    195,073.68x = 16,033,090,299.35
  5. Step 5: Solve for x
    x = 16,033,090,299.35/195,073.68
  6. Step 6: Final answer
    x = 82,189.92

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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.