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Finding the Fourth Proportional to 143,152.80, 214,947.90 and 109,910.40

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Solution

The fourth proportional to 143,152.80, 214,947.90 and 109,910.40 is: 165,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,152.80 : 214,947.90 = 109,910.40 : x
  2. Step 2: Convert to fraction form
    143,152.80/214,947.90 = 109,910.40/x
  3. Step 3: Cross multiply
    143,152.80x = 214,947.90 × 109,910.40
  4. Step 4: Simplify right side
    143,152.80x = 23,625,009,668.16
  5. Step 5: Solve for x
    x = 23,625,009,668.16/143,152.80
  6. Step 6: Final answer
    x = 165,033.51

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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.