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Finding the Fourth Proportional to 106,860, 160,292.16 and 27,981.12

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Solution

The fourth proportional to 106,860, 160,292.16 and 27,981.12 is: 41,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,860 : 160,292.16 = 27,981.12 : x
  2. Step 2: Convert to fraction form
    106,860/160,292.16 = 27,981.12/x
  3. Step 3: Cross multiply
    106,860x = 160,292.16 × 27,981.12
  4. Step 4: Simplify right side
    106,860x = 4,485,154,164.02
  5. Step 5: Solve for x
    x = 4,485,154,164.02/106,860
  6. Step 6: Final answer
    x = 41,972.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.