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Finding the Fourth Proportional to 150,226.84, 207,323.58 and 83,163.16

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Solution

The fourth proportional to 150,226.84, 207,323.58 and 83,163.16 is: 114,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,226.84 : 207,323.58 = 83,163.16 : x
  2. Step 2: Convert to fraction form
    150,226.84/207,323.58 = 83,163.16/x
  3. Step 3: Cross multiply
    150,226.84x = 207,323.58 × 83,163.16
  4. Step 4: Simplify right side
    150,226.84x = 17,241,684,055.31
  5. Step 5: Solve for x
    x = 17,241,684,055.31/150,226.84
  6. Step 6: Final answer
    x = 114,771.00

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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.