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Finding the Fourth Proportional to 98,267.76, 135,472.12 and 83,099.50

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Solution

The fourth proportional to 98,267.76, 135,472.12 and 83,099.50 is: 114,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,267.76 : 135,472.12 = 83,099.50 : x
  2. Step 2: Convert to fraction form
    98,267.76/135,472.12 = 83,099.50/x
  3. Step 3: Cross multiply
    98,267.76x = 135,472.12 × 83,099.50
  4. Step 4: Simplify right side
    98,267.76x = 11,257,665,435.94
  5. Step 5: Solve for x
    x = 11,257,665,435.94/98,267.76
  6. Step 6: Final answer
    x = 114,561.13

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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.