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Finding the Fourth Proportional to 206,764.10, 310,182.60 and 73,721.60

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Solution

The fourth proportional to 206,764.10, 310,182.60 and 73,721.60 is: 110,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,764.10 : 310,182.60 = 73,721.60 : x
  2. Step 2: Convert to fraction form
    206,764.10/310,182.60 = 73,721.60/x
  3. Step 3: Cross multiply
    206,764.10x = 310,182.60 × 73,721.60
  4. Step 4: Simplify right side
    206,764.10x = 22,867,157,564.16
  5. Step 5: Solve for x
    x = 22,867,157,564.16/206,764.10
  6. Step 6: Final answer
    x = 110,595.40

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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.