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Finding the Fourth Proportional to 106,933.60, 160,400.40 and 76,866.40

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Solution

The fourth proportional to 106,933.60, 160,400.40 and 76,866.40 is: 115,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,933.60 : 160,400.40 = 76,866.40 : x
  2. Step 2: Convert to fraction form
    106,933.60/160,400.40 = 76,866.40/x
  3. Step 3: Cross multiply
    106,933.60x = 160,400.40 × 76,866.40
  4. Step 4: Simplify right side
    106,933.60x = 12,329,401,306.56
  5. Step 5: Solve for x
    x = 12,329,401,306.56/106,933.60
  6. Step 6: Final answer
    x = 115,299.60

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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.