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Finding the Fourth Proportional to 153,641.46, 230,469.48 and 74,661.60

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Solution

The fourth proportional to 153,641.46, 230,469.48 and 74,661.60 is: 111,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,641.46 : 230,469.48 = 74,661.60 : x
  2. Step 2: Convert to fraction form
    153,641.46/230,469.48 = 74,661.60/x
  3. Step 3: Cross multiply
    153,641.46x = 230,469.48 × 74,661.60
  4. Step 4: Simplify right side
    153,641.46x = 17,207,220,127.97
  5. Step 5: Solve for x
    x = 17,207,220,127.97/153,641.46
  6. Step 6: Final answer
    x = 111,995.94

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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.