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Finding the Fourth Proportional to 210,937.71, 290,791.31 and 150,403.44

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Solution

The fourth proportional to 210,937.71, 290,791.31 and 150,403.44 is: 207,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,937.71 : 290,791.31 = 150,403.44 : x
  2. Step 2: Convert to fraction form
    210,937.71/290,791.31 = 150,403.44/x
  3. Step 3: Cross multiply
    210,937.71x = 290,791.31 × 150,403.44
  4. Step 4: Simplify right side
    210,937.71x = 43,736,012,594.09
  5. Step 5: Solve for x
    x = 43,736,012,594.09/210,937.71
  6. Step 6: Final answer
    x = 207,340.89

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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.