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Finding the Fourth Proportional to 270,013.50, 372,618.63 and 150,781.50

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Solution

The fourth proportional to 270,013.50, 372,618.63 and 150,781.50 is: 208,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,013.50 : 372,618.63 = 150,781.50 : x
  2. Step 2: Convert to fraction form
    270,013.50/372,618.63 = 150,781.50/x
  3. Step 3: Cross multiply
    270,013.50x = 372,618.63 × 150,781.50
  4. Step 4: Simplify right side
    270,013.50x = 56,183,995,959.35
  5. Step 5: Solve for x
    x = 56,183,995,959.35/270,013.50
  6. Step 6: Final answer
    x = 208,078.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.