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Finding the Fourth Proportional to 165,119.34, 227,934.45 and 111,477.02

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Solution

The fourth proportional to 165,119.34, 227,934.45 and 111,477.02 is: 153,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,119.34 : 227,934.45 = 111,477.02 : x
  2. Step 2: Convert to fraction form
    165,119.34/227,934.45 = 111,477.02/x
  3. Step 3: Cross multiply
    165,119.34x = 227,934.45 × 111,477.02
  4. Step 4: Simplify right side
    165,119.34x = 25,409,451,544.28
  5. Step 5: Solve for x
    x = 25,409,451,544.28/165,119.34
  6. Step 6: Final answer
    x = 153,885.37

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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.