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Finding the Fourth Proportional to 147,960.26, 221,996.26 and 88,837.16

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Solution

The fourth proportional to 147,960.26, 221,996.26 and 88,837.16 is: 133,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,960.26 : 221,996.26 = 88,837.16 : x
  2. Step 2: Convert to fraction form
    147,960.26/221,996.26 = 88,837.16/x
  3. Step 3: Cross multiply
    147,960.26x = 221,996.26 × 88,837.16
  4. Step 4: Simplify right side
    147,960.26x = 19,721,517,269.02
  5. Step 5: Solve for x
    x = 19,721,517,269.02/147,960.26
  6. Step 6: Final answer
    x = 133,289.29

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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.