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Finding the Fourth Proportional to 205,679.88, 283,842.72 and 145,356.96

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Solution

The fourth proportional to 205,679.88, 283,842.72 and 145,356.96 is: 200,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,679.88 : 283,842.72 = 145,356.96 : x
  2. Step 2: Convert to fraction form
    205,679.88/283,842.72 = 145,356.96/x
  3. Step 3: Cross multiply
    205,679.88x = 283,842.72 × 145,356.96
  4. Step 4: Simplify right side
    205,679.88x = 41,258,514,897.33
  5. Step 5: Solve for x
    x = 41,258,514,897.33/205,679.88
  6. Step 6: Final answer
    x = 200,595.77

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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.