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Finding the Fourth Proportional to 153,961.60, 230,974.80 and 65,169.40

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Solution

The fourth proportional to 153,961.60, 230,974.80 and 65,169.40 is: 97,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,961.60 : 230,974.80 = 65,169.40 : x
  2. Step 2: Convert to fraction form
    153,961.60/230,974.80 = 65,169.40/x
  3. Step 3: Cross multiply
    153,961.60x = 230,974.80 × 65,169.40
  4. Step 4: Simplify right side
    153,961.60x = 15,052,489,131.12
  5. Step 5: Solve for x
    x = 15,052,489,131.12/153,961.60
  6. Step 6: Final answer
    x = 97,767.81

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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.