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Finding the Fourth Proportional to 267,189.32, 368,704.37 and 146,332.06

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Solution

The fourth proportional to 267,189.32, 368,704.37 and 146,332.06 is: 201,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,189.32 : 368,704.37 = 146,332.06 : x
  2. Step 2: Convert to fraction form
    267,189.32/368,704.37 = 146,332.06/x
  3. Step 3: Cross multiply
    267,189.32x = 368,704.37 × 146,332.06
  4. Step 4: Simplify right side
    267,189.32x = 53,953,269,993.10
  5. Step 5: Solve for x
    x = 53,953,269,993.10/267,189.32
  6. Step 6: Final answer
    x = 201,928.99

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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.