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Finding the Fourth Proportional to 106,028.16, 146,263.20 and 65,728.80

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Solution

The fourth proportional to 106,028.16, 146,263.20 and 65,728.80 is: 90,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,028.16 : 146,263.20 = 65,728.80 : x
  2. Step 2: Convert to fraction form
    106,028.16/146,263.20 = 65,728.80/x
  3. Step 3: Cross multiply
    106,028.16x = 146,263.20 × 65,728.80
  4. Step 4: Simplify right side
    106,028.16x = 9,613,704,620.16
  5. Step 5: Solve for x
    x = 9,613,704,620.16/106,028.16
  6. Step 6: Final answer
    x = 90,671.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.