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Finding the Fourth Proportional to 90,453.64, 135,021.62 and 83,783.26

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Solution

The fourth proportional to 90,453.64, 135,021.62 and 83,783.26 is: 125,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,453.64 : 135,021.62 = 83,783.26 : x
  2. Step 2: Convert to fraction form
    90,453.64/135,021.62 = 83,783.26/x
  3. Step 3: Cross multiply
    90,453.64x = 135,021.62 × 83,783.26
  4. Step 4: Simplify right side
    90,453.64x = 11,312,551,494.08
  5. Step 5: Solve for x
    x = 11,312,551,494.08/90,453.64
  6. Step 6: Final answer
    x = 125,064.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.