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Finding the Fourth Proportional to 97,881.45, 146,799.17 and 55,205.28

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Solution

The fourth proportional to 97,881.45, 146,799.17 and 55,205.28 is: 82,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.45 : 146,799.17 = 55,205.28 : x
  2. Step 2: Convert to fraction form
    97,881.45/146,799.17 = 55,205.28/x
  3. Step 3: Cross multiply
    97,881.45x = 146,799.17 × 55,205.28
  4. Step 4: Simplify right side
    97,881.45x = 8,104,089,214.61
  5. Step 5: Solve for x
    x = 8,104,089,214.61/97,881.45
  6. Step 6: Final answer
    x = 82,794.95

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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.