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Finding the Fourth Proportional to 136,519.84, 188,406.84 and 82,807.12

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Solution

The fourth proportional to 136,519.84, 188,406.84 and 82,807.12 is: 114,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,519.84 : 188,406.84 = 82,807.12 : x
  2. Step 2: Convert to fraction form
    136,519.84/188,406.84 = 82,807.12/x
  3. Step 3: Cross multiply
    136,519.84x = 188,406.84 × 82,807.12
  4. Step 4: Simplify right side
    136,519.84x = 15,601,427,808.70
  5. Step 5: Solve for x
    x = 15,601,427,808.70/136,519.84
  6. Step 6: Final answer
    x = 114,279.56

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1.5x scale

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.