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Finding the Fourth Proportional to 206,835.40, 310,279.56 and 73,729.10

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Solution

The fourth proportional to 206,835.40, 310,279.56 and 73,729.10 is: 110,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835.40 : 310,279.56 = 73,729.10 : x
  2. Step 2: Convert to fraction form
    206,835.40/310,279.56 = 73,729.10/x
  3. Step 3: Cross multiply
    206,835.40x = 310,279.56 × 73,729.10
  4. Step 4: Simplify right side
    206,835.40x = 22,876,632,707.20
  5. Step 5: Solve for x
    x = 22,876,632,707.20/206,835.40
  6. Step 6: Final answer
    x = 110,603.08

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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.