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Finding the Fourth Proportional to 160,827.72, 222,091.65 and 103,566.42

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Solution

The fourth proportional to 160,827.72, 222,091.65 and 103,566.42 is: 143,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,827.72 : 222,091.65 = 103,566.42 : x
  2. Step 2: Convert to fraction form
    160,827.72/222,091.65 = 103,566.42/x
  3. Step 3: Cross multiply
    160,827.72x = 222,091.65 × 103,566.42
  4. Step 4: Simplify right side
    160,827.72x = 23,001,237,102.39
  5. Step 5: Solve for x
    x = 23,001,237,102.39/160,827.72
  6. Step 6: Final answer
    x = 143,017.86

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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.