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Finding the Fourth Proportional to 106,315.92, 146,874.60 and 85,867.47

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Solution

The fourth proportional to 106,315.92, 146,874.60 and 85,867.47 is: 118,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.92 : 146,874.60 = 85,867.47 : x
  2. Step 2: Convert to fraction form
    106,315.92/146,874.60 = 85,867.47/x
  3. Step 3: Cross multiply
    106,315.92x = 146,874.60 × 85,867.47
  4. Step 4: Simplify right side
    106,315.92x = 12,611,750,309.26
  5. Step 5: Solve for x
    x = 12,611,750,309.26/106,315.92
  6. Step 6: Final answer
    x = 118,625.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.