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Finding the Fourth Proportional to 209,015.30, 288,440.90 and 113,522.07

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Solution

The fourth proportional to 209,015.30, 288,440.90 and 113,522.07 is: 156,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,015.30 : 288,440.90 = 113,522.07 : x
  2. Step 2: Convert to fraction form
    209,015.30/288,440.90 = 113,522.07/x
  3. Step 3: Cross multiply
    209,015.30x = 288,440.90 × 113,522.07
  4. Step 4: Simplify right side
    209,015.30x = 32,744,408,980.41
  5. Step 5: Solve for x
    x = 32,744,408,980.41/209,015.30
  6. Step 6: Final answer
    x = 156,660.34

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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.