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Finding the Fourth Proportional to 223,894.20, 335,834.10 and 74,141.40

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Solution

The fourth proportional to 223,894.20, 335,834.10 and 74,141.40 is: 111,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,894.20 : 335,834.10 = 74,141.40 : x
  2. Step 2: Convert to fraction form
    223,894.20/335,834.10 = 74,141.40/x
  3. Step 3: Cross multiply
    223,894.20x = 335,834.10 × 74,141.40
  4. Step 4: Simplify right side
    223,894.20x = 24,899,210,341.74
  5. Step 5: Solve for x
    x = 24,899,210,341.74/223,894.20
  6. Step 6: Final answer
    x = 111,209.72

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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.