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Finding the Fourth Proportional to 202,055.40, 278,774.64 and 117,155.52

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Solution

The fourth proportional to 202,055.40, 278,774.64 and 117,155.52 is: 161,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,055.40 : 278,774.64 = 117,155.52 : x
  2. Step 2: Convert to fraction form
    202,055.40/278,774.64 = 117,155.52/x
  3. Step 3: Cross multiply
    202,055.40x = 278,774.64 × 117,155.52
  4. Step 4: Simplify right side
    202,055.40x = 32,659,987,912.01
  5. Step 5: Solve for x
    x = 32,659,987,912.01/202,055.40
  6. Step 6: Final answer
    x = 161,638.78

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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.