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Finding the Fourth Proportional to 266,538.42, 367,828.92 and 145,687.68

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Solution

The fourth proportional to 266,538.42, 367,828.92 and 145,687.68 is: 201,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,538.42 : 367,828.92 = 145,687.68 : x
  2. Step 2: Convert to fraction form
    266,538.42/367,828.92 = 145,687.68/x
  3. Step 3: Cross multiply
    266,538.42x = 367,828.92 × 145,687.68
  4. Step 4: Simplify right side
    266,538.42x = 53,588,141,991.71
  5. Step 5: Solve for x
    x = 53,588,141,991.71/266,538.42
  6. Step 6: Final answer
    x = 201,052.22

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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.