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Finding the Fourth Proportional to 153,321.54, 229,966.13 and 41,013.09

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Solution

The fourth proportional to 153,321.54, 229,966.13 and 41,013.09 is: 61,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,321.54 : 229,966.13 = 41,013.09 : x
  2. Step 2: Convert to fraction form
    153,321.54/229,966.13 = 41,013.09/x
  3. Step 3: Cross multiply
    153,321.54x = 229,966.13 × 41,013.09
  4. Step 4: Simplify right side
    153,321.54x = 9,431,622,551.55
  5. Step 5: Solve for x
    x = 9,431,622,551.55/153,321.54
  6. Step 6: Final answer
    x = 61,515.31

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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.