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Finding the Fourth Proportional to 106,193.86, 159,201.51 and 71,026.18

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Solution

The fourth proportional to 106,193.86, 159,201.51 and 71,026.18 is: 106,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,193.86 : 159,201.51 = 71,026.18 : x
  2. Step 2: Convert to fraction form
    106,193.86/159,201.51 = 71,026.18/x
  3. Step 3: Cross multiply
    106,193.86x = 159,201.51 × 71,026.18
  4. Step 4: Simplify right side
    106,193.86x = 11,307,475,105.53
  5. Step 5: Solve for x
    x = 11,307,475,105.53/106,193.86
  6. Step 6: Final answer
    x = 106,479.56

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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.