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Finding the Fourth Proportional to 305,101.50, 457,216.17 and 134,118.30

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Solution

The fourth proportional to 305,101.50, 457,216.17 and 134,118.30 is: 200,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,101.50 : 457,216.17 = 134,118.30 : x
  2. Step 2: Convert to fraction form
    305,101.50/457,216.17 = 134,118.30/x
  3. Step 3: Cross multiply
    305,101.50x = 457,216.17 × 134,118.30
  4. Step 4: Simplify right side
    305,101.50x = 61,321,055,452.91
  5. Step 5: Solve for x
    x = 61,321,055,452.91/305,101.50
  6. Step 6: Final answer
    x = 200,985.76

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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.