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Finding the Fourth Proportional to 310,164.26, 465,258.24 and 96,951.80

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Solution

The fourth proportional to 310,164.26, 465,258.24 and 96,951.80 is: 145,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,164.26 : 465,258.24 = 96,951.80 : x
  2. Step 2: Convert to fraction form
    310,164.26/465,258.24 = 96,951.80/x
  3. Step 3: Cross multiply
    310,164.26x = 465,258.24 × 96,951.80
  4. Step 4: Simplify right side
    310,164.26x = 45,107,623,832.83
  5. Step 5: Solve for x
    x = 45,107,623,832.83/310,164.26
  6. Step 6: Final answer
    x = 145,431.40

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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.