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Finding the Fourth Proportional to 100,084.36, 138,051.30 and 64,217.56

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Solution

The fourth proportional to 100,084.36, 138,051.30 and 64,217.56 is: 88,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,084.36 : 138,051.30 = 64,217.56 : x
  2. Step 2: Convert to fraction form
    100,084.36/138,051.30 = 64,217.56/x
  3. Step 3: Cross multiply
    100,084.36x = 138,051.30 × 64,217.56
  4. Step 4: Simplify right side
    100,084.36x = 8,865,317,640.83
  5. Step 5: Solve for x
    x = 8,865,317,640.83/100,084.36
  6. Step 6: Final answer
    x = 88,578.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.