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Finding the Fourth Proportional to 234,347.20, 323,405.12 and 143,753.15

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Solution

The fourth proportional to 234,347.20, 323,405.12 and 143,753.15 is: 198,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,347.20 : 323,405.12 = 143,753.15 : x
  2. Step 2: Convert to fraction form
    234,347.20/323,405.12 = 143,753.15/x
  3. Step 3: Cross multiply
    234,347.20x = 323,405.12 × 143,753.15
  4. Step 4: Simplify right side
    234,347.20x = 46,490,505,894.02
  5. Step 5: Solve for x
    x = 46,490,505,894.02/234,347.20
  6. Step 6: Final answer
    x = 198,383.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.