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Finding the Fourth Proportional to 152,019, 209,799.18 and 84,963.96

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Solution

The fourth proportional to 152,019, 209,799.18 and 84,963.96 is: 117,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,019 : 209,799.18 = 84,963.96 : x
  2. Step 2: Convert to fraction form
    152,019/209,799.18 = 84,963.96/x
  3. Step 3: Cross multiply
    152,019x = 209,799.18 × 84,963.96
  4. Step 4: Simplify right side
    152,019x = 17,825,369,137.55
  5. Step 5: Solve for x
    x = 17,825,369,137.55/152,019
  6. Step 6: Final answer
    x = 117,257.51

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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.