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Finding the Fourth Proportional to 209,253.78, 288,777.96 and 116,122.14

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Solution

The fourth proportional to 209,253.78, 288,777.96 and 116,122.14 is: 160,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,253.78 : 288,777.96 = 116,122.14 : x
  2. Step 2: Convert to fraction form
    209,253.78/288,777.96 = 116,122.14/x
  3. Step 3: Cross multiply
    209,253.78x = 288,777.96 × 116,122.14
  4. Step 4: Simplify right side
    209,253.78x = 33,533,514,700.03
  5. Step 5: Solve for x
    x = 33,533,514,700.03/209,253.78
  6. Step 6: Final answer
    x = 160,252.85

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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.