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Finding the Fourth Proportional to 266,523.46, 367,801.49 and 145,664.71

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Solution

The fourth proportional to 266,523.46, 367,801.49 and 145,664.71 is: 201,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,523.46 : 367,801.49 = 145,664.71 : x
  2. Step 2: Convert to fraction form
    266,523.46/367,801.49 = 145,664.71/x
  3. Step 3: Cross multiply
    266,523.46x = 367,801.49 × 145,664.71
  4. Step 4: Simplify right side
    266,523.46x = 53,575,697,378.42
  5. Step 5: Solve for x
    x = 53,575,697,378.42/266,523.46
  6. Step 6: Final answer
    x = 201,016.82

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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.