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Finding the Fourth Proportional to 165,165.86, 227,948.01 and 155,032.22

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Solution

The fourth proportional to 165,165.86, 227,948.01 and 155,032.22 is: 213,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,165.86 : 227,948.01 = 155,032.22 : x
  2. Step 2: Convert to fraction form
    165,165.86/227,948.01 = 155,032.22/x
  3. Step 3: Cross multiply
    165,165.86x = 227,948.01 × 155,032.22
  4. Step 4: Simplify right side
    165,165.86x = 35,339,286,034.88
  5. Step 5: Solve for x
    x = 35,339,286,034.88/165,165.86
  6. Step 6: Final answer
    x = 213,962.41

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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.