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Finding the Fourth Proportional to 209,180.84, 288,671.43 and 113,687.64

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Solution

The fourth proportional to 209,180.84, 288,671.43 and 113,687.64 is: 156,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,180.84 : 288,671.43 = 113,687.64 : x
  2. Step 2: Convert to fraction form
    209,180.84/288,671.43 = 113,687.64/x
  3. Step 3: Cross multiply
    209,180.84x = 288,671.43 × 113,687.64
  4. Step 4: Simplify right side
    209,180.84x = 32,818,373,612.13
  5. Step 5: Solve for x
    x = 32,818,373,612.13/209,180.84
  6. Step 6: Final answer
    x = 156,889.96

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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.