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Finding the Fourth Proportional to 150,646.84, 207,891.60 and 83,578.84

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Solution

The fourth proportional to 150,646.84, 207,891.60 and 83,578.84 is: 115,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,646.84 : 207,891.60 = 83,578.84 : x
  2. Step 2: Convert to fraction form
    150,646.84/207,891.60 = 83,578.84/x
  3. Step 3: Cross multiply
    150,646.84x = 207,891.60 × 83,578.84
  4. Step 4: Simplify right side
    150,646.84x = 17,375,338,773.74
  5. Step 5: Solve for x
    x = 17,375,338,773.74/150,646.84
  6. Step 6: Final answer
    x = 115,338.22

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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.