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Finding the Fourth Proportional to 259,266.41, 357,866.72 and 150,398.26

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Solution

The fourth proportional to 259,266.41, 357,866.72 and 150,398.26 is: 207,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,266.41 : 357,866.72 = 150,398.26 : x
  2. Step 2: Convert to fraction form
    259,266.41/357,866.72 = 150,398.26/x
  3. Step 3: Cross multiply
    259,266.41x = 357,866.72 × 150,398.26
  4. Step 4: Simplify right side
    259,266.41x = 53,822,531,481.24
  5. Step 5: Solve for x
    x = 53,822,531,481.24/259,266.41
  6. Step 6: Final answer
    x = 207,595.47

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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.