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Finding the Fourth Proportional to 123,124.28, 169,844.94 and 82,358.84

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Solution

The fourth proportional to 123,124.28, 169,844.94 and 82,358.84 is: 113,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,124.28 : 169,844.94 = 82,358.84 : x
  2. Step 2: Convert to fraction form
    123,124.28/169,844.94 = 82,358.84/x
  3. Step 3: Cross multiply
    123,124.28x = 169,844.94 × 82,358.84
  4. Step 4: Simplify right side
    123,124.28x = 13,988,232,238.27
  5. Step 5: Solve for x
    x = 13,988,232,238.27/123,124.28
  6. Step 6: Final answer
    x = 113,610.67

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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.