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Finding the Fourth Proportional to 106,876.80, 160,315.20 and 51,478.40

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Solution

The fourth proportional to 106,876.80, 160,315.20 and 51,478.40 is: 77,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876.80 : 160,315.20 = 51,478.40 : x
  2. Step 2: Convert to fraction form
    106,876.80/160,315.20 = 51,478.40/x
  3. Step 3: Cross multiply
    106,876.80x = 160,315.20 × 51,478.40
  4. Step 4: Simplify right side
    106,876.80x = 8,252,769,991.68
  5. Step 5: Solve for x
    x = 8,252,769,991.68/106,876.80
  6. Step 6: Final answer
    x = 77,217.60

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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.