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Finding the Fourth Proportional to 98,265.76, 135,469.36 and 83,097.50

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Solution

The fourth proportional to 98,265.76, 135,469.36 and 83,097.50 is: 114,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,265.76 : 135,469.36 = 83,097.50 : x
  2. Step 2: Convert to fraction form
    98,265.76/135,469.36 = 83,097.50/x
  3. Step 3: Cross multiply
    98,265.76x = 135,469.36 × 83,097.50
  4. Step 4: Simplify right side
    98,265.76x = 11,257,164,569.13
  5. Step 5: Solve for x
    x = 11,257,164,569.13/98,265.76
  6. Step 6: Final answer
    x = 114,558.37

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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.