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Finding the Fourth Proportional to 100,682.16, 138,736.64 and 77,882.68

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Solution

The fourth proportional to 100,682.16, 138,736.64 and 77,882.68 is: 107,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682.16 : 138,736.64 = 77,882.68 : x
  2. Step 2: Convert to fraction form
    100,682.16/138,736.64 = 77,882.68/x
  3. Step 3: Cross multiply
    100,682.16x = 138,736.64 × 77,882.68
  4. Step 4: Simplify right side
    100,682.16x = 10,805,181,337.40
  5. Step 5: Solve for x
    x = 10,805,181,337.40/100,682.16
  6. Step 6: Final answer
    x = 107,319.72

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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.