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Finding the Fourth Proportional to 100,298.16, 150,314.40 and 83,691

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Solution

The fourth proportional to 100,298.16, 150,314.40 and 83,691 is: 125,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.16 : 150,314.40 = 83,691 : x
  2. Step 2: Convert to fraction form
    100,298.16/150,314.40 = 83,691/x
  3. Step 3: Cross multiply
    100,298.16x = 150,314.40 × 83,691
  4. Step 4: Simplify right side
    100,298.16x = 12,579,962,450.40
  5. Step 5: Solve for x
    x = 12,579,962,450.40/100,298.16
  6. Step 6: Final answer
    x = 125,425.66

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