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Finding the Fourth Proportional to 106,799.31, 160,209.90 and 40,295.37

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Solution

The fourth proportional to 106,799.31, 160,209.90 and 40,295.37 is: 60,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,799.31 : 160,209.90 = 40,295.37 : x
  2. Step 2: Convert to fraction form
    106,799.31/160,209.90 = 40,295.37/x
  3. Step 3: Cross multiply
    106,799.31x = 160,209.90 × 40,295.37
  4. Step 4: Simplify right side
    106,799.31x = 6,455,717,798.95
  5. Step 5: Solve for x
    x = 6,455,717,798.95/106,799.31
  6. Step 6: Final answer
    x = 60,447.19

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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.