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Finding the Fourth Proportional to 209,348.96, 288,903.52 and 113,857.60

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Solution

The fourth proportional to 209,348.96, 288,903.52 and 113,857.60 is: 157,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,348.96 : 288,903.52 = 113,857.60 : x
  2. Step 2: Convert to fraction form
    209,348.96/288,903.52 = 113,857.60/x
  3. Step 3: Cross multiply
    209,348.96x = 288,903.52 × 113,857.60
  4. Step 4: Simplify right side
    209,348.96x = 32,893,861,418.75
  5. Step 5: Solve for x
    x = 32,893,861,418.75/209,348.96
  6. Step 6: Final answer
    x = 157,124.55

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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.