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Finding the Fourth Proportional to 90,451.64, 135,018.64 and 83,781.26

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Solution

The fourth proportional to 90,451.64, 135,018.64 and 83,781.26 is: 125,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,451.64 : 135,018.64 = 83,781.26 : x
  2. Step 2: Convert to fraction form
    90,451.64/135,018.64 = 83,781.26/x
  3. Step 3: Cross multiply
    90,451.64x = 135,018.64 × 83,781.26
  4. Step 4: Simplify right side
    90,451.64x = 11,312,031,782.69
  5. Step 5: Solve for x
    x = 11,312,031,782.69/90,451.64
  6. Step 6: Final answer
    x = 125,061.65

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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.