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Finding the Fourth Proportional to 141,079.28, 194,692.38 and 77,416.52

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Solution

The fourth proportional to 141,079.28, 194,692.38 and 77,416.52 is: 106,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,079.28 : 194,692.38 = 77,416.52 : x
  2. Step 2: Convert to fraction form
    141,079.28/194,692.38 = 77,416.52/x
  3. Step 3: Cross multiply
    141,079.28x = 194,692.38 × 77,416.52
  4. Step 4: Simplify right side
    141,079.28x = 15,072,406,530.12
  5. Step 5: Solve for x
    x = 15,072,406,530.12/141,079.28
  6. Step 6: Final answer
    x = 106,836.43

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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.