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Finding the Fourth Proportional to 266,414.34, 367,652.10 and 145,557.66

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Solution

The fourth proportional to 266,414.34, 367,652.10 and 145,557.66 is: 200,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,414.34 : 367,652.10 = 145,557.66 : x
  2. Step 2: Convert to fraction form
    266,414.34/367,652.10 = 145,557.66/x
  3. Step 3: Cross multiply
    266,414.34x = 367,652.10 × 145,557.66
  4. Step 4: Simplify right side
    266,414.34x = 53,514,579,370.09
  5. Step 5: Solve for x
    x = 53,514,579,370.09/266,414.34
  6. Step 6: Final answer
    x = 200,869.74

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