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Finding the Fourth Proportional to 201,765.75, 278,456.18 and 112,341.75

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Solution

The fourth proportional to 201,765.75, 278,456.18 and 112,341.75 is: 155,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,765.75 : 278,456.18 = 112,341.75 : x
  2. Step 2: Convert to fraction form
    201,765.75/278,456.18 = 112,341.75/x
  3. Step 3: Cross multiply
    201,765.75x = 278,456.18 × 112,341.75
  4. Step 4: Simplify right side
    201,765.75x = 31,282,253,997.81
  5. Step 5: Solve for x
    x = 31,282,253,997.81/201,765.75
  6. Step 6: Final answer
    x = 155,042.44

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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.