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Finding the Fourth Proportional to 279,106.80, 418,757.40 and 121,448.40

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Solution

The fourth proportional to 279,106.80, 418,757.40 and 121,448.40 is: 182,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,106.80 : 418,757.40 = 121,448.40 : x
  2. Step 2: Convert to fraction form
    279,106.80/418,757.40 = 121,448.40/x
  3. Step 3: Cross multiply
    279,106.80x = 418,757.40 × 121,448.40
  4. Step 4: Simplify right side
    279,106.80x = 50,857,416,218.16
  5. Step 5: Solve for x
    x = 50,857,416,218.16/279,106.80
  6. Step 6: Final answer
    x = 182,214.89

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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.