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Finding the Fourth Proportional to 209,405.68, 288,984.52 and 113,917.52

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Solution

The fourth proportional to 209,405.68, 288,984.52 and 113,917.52 is: 157,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,405.68 : 288,984.52 = 113,917.52 : x
  2. Step 2: Convert to fraction form
    209,405.68/288,984.52 = 113,917.52/x
  3. Step 3: Cross multiply
    209,405.68x = 288,984.52 × 113,917.52
  4. Step 4: Simplify right side
    209,405.68x = 32,920,399,836.79
  5. Step 5: Solve for x
    x = 32,920,399,836.79/209,405.68
  6. Step 6: Final answer
    x = 157,208.72

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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.