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Finding the Fourth Proportional to 295,080.20, 442,764.30 and 137,227.40

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Solution

The fourth proportional to 295,080.20, 442,764.30 and 137,227.40 is: 205,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,080.20 : 442,764.30 = 137,227.40 : x
  2. Step 2: Convert to fraction form
    295,080.20/442,764.30 = 137,227.40/x
  3. Step 3: Cross multiply
    295,080.20x = 442,764.30 × 137,227.40
  4. Step 4: Simplify right side
    295,080.20x = 60,759,393,701.82
  5. Step 5: Solve for x
    x = 60,759,393,701.82/295,080.20
  6. Step 6: Final answer
    x = 205,908.07

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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.