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Finding the Fourth Proportional to 310,146.44, 465,284.21 and 96,905.73

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Solution

The fourth proportional to 310,146.44, 465,284.21 and 96,905.73 is: 145,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,146.44 : 465,284.21 = 96,905.73 : x
  2. Step 2: Convert to fraction form
    310,146.44/465,284.21 = 96,905.73/x
  3. Step 3: Cross multiply
    310,146.44x = 465,284.21 × 96,905.73
  4. Step 4: Simplify right side
    310,146.44x = 45,088,706,269.79
  5. Step 5: Solve for x
    x = 45,088,706,269.79/310,146.44
  6. Step 6: Final answer
    x = 145,378.77

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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.