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Finding the Fourth Proportional to 266,435.68, 367,663.56 and 151,726

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Solution

The fourth proportional to 266,435.68, 367,663.56 and 151,726 is: 209,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,435.68 : 367,663.56 = 151,726 : x
  2. Step 2: Convert to fraction form
    266,435.68/367,663.56 = 151,726/x
  3. Step 3: Cross multiply
    266,435.68x = 367,663.56 × 151,726
  4. Step 4: Simplify right side
    266,435.68x = 55,784,121,304.56
  5. Step 5: Solve for x
    x = 55,784,121,304.56/266,435.68
  6. Step 6: Final answer
    x = 209,371.81

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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.