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Finding the Fourth Proportional to 143,135.70, 214,703.55 and 80,150.10

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Solution

The fourth proportional to 143,135.70, 214,703.55 and 80,150.10 is: 120,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,135.70 : 214,703.55 = 80,150.10 : x
  2. Step 2: Convert to fraction form
    143,135.70/214,703.55 = 80,150.10/x
  3. Step 3: Cross multiply
    143,135.70x = 214,703.55 × 80,150.10
  4. Step 4: Simplify right side
    143,135.70x = 17,208,511,002.86
  5. Step 5: Solve for x
    x = 17,208,511,002.86/143,135.70
  6. Step 6: Final answer
    x = 120,225.15

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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.