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Finding the Fourth Proportional to 266,566.82, 367,862.22 and 145,708.58

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Solution

The fourth proportional to 266,566.82, 367,862.22 and 145,708.58 is: 201,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,566.82 : 367,862.22 = 145,708.58 : x
  2. Step 2: Convert to fraction form
    266,566.82/367,862.22 = 145,708.58/x
  3. Step 3: Cross multiply
    266,566.82x = 367,862.22 × 145,708.58
  4. Step 4: Simplify right side
    266,566.82x = 53,600,679,872.54
  5. Step 5: Solve for x
    x = 53,600,679,872.54/266,566.82
  6. Step 6: Final answer
    x = 201,077.84

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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.