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Finding the Fourth Proportional to 106,965.66, 160,442.01 and 28,078.14

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Solution

The fourth proportional to 106,965.66, 160,442.01 and 28,078.14 is: 42,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,965.66 : 160,442.01 = 28,078.14 : x
  2. Step 2: Convert to fraction form
    106,965.66/160,442.01 = 28,078.14/x
  3. Step 3: Cross multiply
    106,965.66x = 160,442.01 × 28,078.14
  4. Step 4: Simplify right side
    106,965.66x = 4,504,913,218.66
  5. Step 5: Solve for x
    x = 4,504,913,218.66/106,965.66
  6. Step 6: Final answer
    x = 42,115.51

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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.