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Finding the Fourth Proportional to 324,251.40, 486,204.30 and 137,051.40

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Solution

The fourth proportional to 324,251.40, 486,204.30 and 137,051.40 is: 205,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,251.40 : 486,204.30 = 137,051.40 : x
  2. Step 2: Convert to fraction form
    324,251.40/486,204.30 = 137,051.40/x
  3. Step 3: Cross multiply
    324,251.40x = 486,204.30 × 137,051.40
  4. Step 4: Simplify right side
    324,251.40x = 66,634,980,001.02
  5. Step 5: Solve for x
    x = 66,634,980,001.02/324,251.40
  6. Step 6: Final answer
    x = 205,504.06

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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.