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Finding the Fourth Proportional to 98,266.76, 135,470.74 and 83,098.50

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Solution

The fourth proportional to 98,266.76, 135,470.74 and 83,098.50 is: 114,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,266.76 : 135,470.74 = 83,098.50 : x
  2. Step 2: Convert to fraction form
    98,266.76/135,470.74 = 83,098.50/x
  3. Step 3: Cross multiply
    98,266.76x = 135,470.74 × 83,098.50
  4. Step 4: Simplify right side
    98,266.76x = 11,257,415,287.89
  5. Step 5: Solve for x
    x = 11,257,415,287.89/98,266.76
  6. Step 6: Final answer
    x = 114,559.75

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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.