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Finding the Fourth Proportional to 107,364.98, 147,919.86 and 83,082.44

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Solution

The fourth proportional to 107,364.98, 147,919.86 and 83,082.44 is: 114,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,364.98 : 147,919.86 = 83,082.44 : x
  2. Step 2: Convert to fraction form
    107,364.98/147,919.86 = 83,082.44/x
  3. Step 3: Cross multiply
    107,364.98x = 147,919.86 × 83,082.44
  4. Step 4: Simplify right side
    107,364.98x = 12,289,542,153.66
  5. Step 5: Solve for x
    x = 12,289,542,153.66/107,364.98
  6. Step 6: Final answer
    x = 114,465.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.