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Finding the Fourth Proportional to 98,206.88, 135,519.11 and 57,911.40

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Solution

The fourth proportional to 98,206.88, 135,519.11 and 57,911.40 is: 79,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206.88 : 135,519.11 = 57,911.40 : x
  2. Step 2: Convert to fraction form
    98,206.88/135,519.11 = 57,911.40/x
  3. Step 3: Cross multiply
    98,206.88x = 135,519.11 × 57,911.40
  4. Step 4: Simplify right side
    98,206.88x = 7,848,101,314.46
  5. Step 5: Solve for x
    x = 7,848,101,314.46/98,206.88
  6. Step 6: Final answer
    x = 79,913.97

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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.