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Finding the Fourth Proportional to 208,851.30, 313,276.95 and 150,239.70

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Solution

The fourth proportional to 208,851.30, 313,276.95 and 150,239.70 is: 225,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.30 : 313,276.95 = 150,239.70 : x
  2. Step 2: Convert to fraction form
    208,851.30/313,276.95 = 150,239.70/x
  3. Step 3: Cross multiply
    208,851.30x = 313,276.95 × 150,239.70
  4. Step 4: Simplify right side
    208,851.30x = 47,066,634,984.92
  5. Step 5: Solve for x
    x = 47,066,634,984.92/208,851.30
  6. Step 6: Final answer
    x = 225,359.55

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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.