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Finding the Fourth Proportional to 259,471.26, 358,072.47 and 152,044.38

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Solution

The fourth proportional to 259,471.26, 358,072.47 and 152,044.38 is: 209,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,471.26 : 358,072.47 = 152,044.38 : x
  2. Step 2: Convert to fraction form
    259,471.26/358,072.47 = 152,044.38/x
  3. Step 3: Cross multiply
    259,471.26x = 358,072.47 × 152,044.38
  4. Step 4: Simplify right side
    259,471.26x = 54,442,906,696.22
  5. Step 5: Solve for x
    x = 54,442,906,696.22/259,471.26
  6. Step 6: Final answer
    x = 209,822.49

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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.