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Finding the Fourth Proportional to 208,735.72, 288,055.40 and 113,242.39

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Solution

The fourth proportional to 208,735.72, 288,055.40 and 113,242.39 is: 156,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,735.72 : 288,055.40 = 113,242.39 : x
  2. Step 2: Convert to fraction form
    208,735.72/288,055.40 = 113,242.39/x
  3. Step 3: Cross multiply
    208,735.72x = 288,055.40 × 113,242.39
  4. Step 4: Simplify right side
    208,735.72x = 32,620,081,948.41
  5. Step 5: Solve for x
    x = 32,620,081,948.41/208,735.72
  6. Step 6: Final answer
    x = 156,274.56

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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.