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Finding the Fourth Proportional to 114,261.20, 171,046.20 and 101,819.60

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Solution

The fourth proportional to 114,261.20, 171,046.20 and 101,819.60 is: 152,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,261.20 : 171,046.20 = 101,819.60 : x
  2. Step 2: Convert to fraction form
    114,261.20/171,046.20 = 101,819.60/x
  3. Step 3: Cross multiply
    114,261.20x = 171,046.20 × 101,819.60
  4. Step 4: Simplify right side
    114,261.20x = 17,415,855,665.52
  5. Step 5: Solve for x
    x = 17,415,855,665.52/114,261.20
  6. Step 6: Final answer
    x = 152,421.43

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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.