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Finding the Fourth Proportional to 90,078.50, 135,116.66 and 84,598.06

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Solution

The fourth proportional to 90,078.50, 135,116.66 and 84,598.06 is: 126,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,078.50 : 135,116.66 = 84,598.06 : x
  2. Step 2: Convert to fraction form
    90,078.50/135,116.66 = 84,598.06/x
  3. Step 3: Cross multiply
    90,078.50x = 135,116.66 × 84,598.06
  4. Step 4: Simplify right side
    90,078.50x = 11,430,607,309.68
  5. Step 5: Solve for x
    x = 11,430,607,309.68/90,078.50
  6. Step 6: Final answer
    x = 126,896.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.