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Finding the Fourth Proportional to 106,808.29, 160,177.20 and 39,324.76

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Solution

The fourth proportional to 106,808.29, 160,177.20 and 39,324.76 is: 58,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.29 : 160,177.20 = 39,324.76 : x
  2. Step 2: Convert to fraction form
    106,808.29/160,177.20 = 39,324.76/x
  3. Step 3: Cross multiply
    106,808.29x = 160,177.20 × 39,324.76
  4. Step 4: Simplify right side
    106,808.29x = 6,298,929,947.47
  5. Step 5: Solve for x
    x = 6,298,929,947.47/106,808.29
  6. Step 6: Final answer
    x = 58,974.17

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1.5x scale

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.