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Finding the Fourth Proportional to 252,335.79, 348,277.43 and 144,965.03

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Solution

The fourth proportional to 252,335.79, 348,277.43 and 144,965.03 is: 200,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,335.79 : 348,277.43 = 144,965.03 : x
  2. Step 2: Convert to fraction form
    252,335.79/348,277.43 = 144,965.03/x
  3. Step 3: Cross multiply
    252,335.79x = 348,277.43 × 144,965.03
  4. Step 4: Simplify right side
    252,335.79x = 50,488,046,709.30
  5. Step 5: Solve for x
    x = 50,488,046,709.30/252,335.79
  6. Step 6: Final answer
    x = 200,082.78

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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.