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Finding the Fourth Proportional to 267,286.53, 368,839.90 and 146,406.77

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Solution

The fourth proportional to 267,286.53, 368,839.90 and 146,406.77 is: 202,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,286.53 : 368,839.90 = 146,406.77 : x
  2. Step 2: Convert to fraction form
    267,286.53/368,839.90 = 146,406.77/x
  3. Step 3: Cross multiply
    267,286.53x = 368,839.90 × 146,406.77
  4. Step 4: Simplify right side
    267,286.53x = 54,000,658,406.12
  5. Step 5: Solve for x
    x = 54,000,658,406.12/267,286.53
  6. Step 6: Final answer
    x = 202,032.85

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1.5x scale

Why These Related Problems?

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