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Finding the Fourth Proportional to 106,948.80, 160,768.80 and 75,998.40

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Solution

The fourth proportional to 106,948.80, 160,768.80 and 75,998.40 is: 114,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,948.80 : 160,768.80 = 75,998.40 : x
  2. Step 2: Convert to fraction form
    106,948.80/160,768.80 = 75,998.40/x
  3. Step 3: Cross multiply
    106,948.80x = 160,768.80 × 75,998.40
  4. Step 4: Simplify right side
    106,948.80x = 12,218,171,569.92
  5. Step 5: Solve for x
    x = 12,218,171,569.92/106,948.80
  6. Step 6: Final answer
    x = 114,243.19

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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.