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Finding the Fourth Proportional to 209,204.88, 288,703.14 and 113,711.34

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Solution

The fourth proportional to 209,204.88, 288,703.14 and 113,711.34 is: 156,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,204.88 : 288,703.14 = 113,711.34 : x
  2. Step 2: Convert to fraction form
    209,204.88/288,703.14 = 113,711.34/x
  3. Step 3: Cross multiply
    209,204.88x = 288,703.14 × 113,711.34
  4. Step 4: Simplify right side
    209,204.88x = 32,828,820,911.61
  5. Step 5: Solve for x
    x = 32,828,820,911.61/209,204.88
  6. Step 6: Final answer
    x = 156,921.87

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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.