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Finding the Fourth Proportional to 114,078.12, 170,974.62 and 54,897.90

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Solution

The fourth proportional to 114,078.12, 170,974.62 and 54,897.90 is: 82,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,078.12 : 170,974.62 = 54,897.90 : x
  2. Step 2: Convert to fraction form
    114,078.12/170,974.62 = 54,897.90/x
  3. Step 3: Cross multiply
    114,078.12x = 170,974.62 × 54,897.90
  4. Step 4: Simplify right side
    114,078.12x = 9,386,147,591.30
  5. Step 5: Solve for x
    x = 9,386,147,591.30/114,078.12
  6. Step 6: Final answer
    x = 82,278.25

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Why These Related Problems?

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