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Finding the Fourth Proportional to 229,263.20, 343,603.20 and 110,679.20

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Solution

The fourth proportional to 229,263.20, 343,603.20 and 110,679.20 is: 165,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,263.20 : 343,603.20 = 110,679.20 : x
  2. Step 2: Convert to fraction form
    229,263.20/343,603.20 = 110,679.20/x
  3. Step 3: Cross multiply
    229,263.20x = 343,603.20 × 110,679.20
  4. Step 4: Simplify right side
    229,263.20x = 38,029,727,293.44
  5. Step 5: Solve for x
    x = 38,029,727,293.44/229,263.20
  6. Step 6: Final answer
    x = 165,878.03

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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.