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Finding the Fourth Proportional to 148,909.80, 223,364.70 and 106,919.40

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Solution

The fourth proportional to 148,909.80, 223,364.70 and 106,919.40 is: 160,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,909.80 : 223,364.70 = 106,919.40 : x
  2. Step 2: Convert to fraction form
    148,909.80/223,364.70 = 106,919.40/x
  3. Step 3: Cross multiply
    148,909.80x = 223,364.70 × 106,919.40
  4. Step 4: Simplify right side
    148,909.80x = 23,882,019,705.18
  5. Step 5: Solve for x
    x = 23,882,019,705.18/148,909.80
  6. Step 6: Final answer
    x = 160,379.10

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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.