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Finding the Fourth Proportional to 272,711.40, 409,067.10 and 188,730.60

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Solution

The fourth proportional to 272,711.40, 409,067.10 and 188,730.60 is: 283,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,711.40 : 409,067.10 = 188,730.60 : x
  2. Step 2: Convert to fraction form
    272,711.40/409,067.10 = 188,730.60/x
  3. Step 3: Cross multiply
    272,711.40x = 409,067.10 × 188,730.60
  4. Step 4: Simplify right side
    272,711.40x = 77,203,479,223.26
  5. Step 5: Solve for x
    x = 77,203,479,223.26/272,711.40
  6. Step 6: Final answer
    x = 283,095.90

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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.