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Finding the Fourth Proportional to 209,017.56, 288,445.76 and 113,524.28

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Solution

The fourth proportional to 209,017.56, 288,445.76 and 113,524.28 is: 156,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,017.56 : 288,445.76 = 113,524.28 : x
  2. Step 2: Convert to fraction form
    209,017.56/288,445.76 = 113,524.28/x
  3. Step 3: Cross multiply
    209,017.56x = 288,445.76 × 113,524.28
  4. Step 4: Simplify right side
    209,017.56x = 32,745,598,343.10
  5. Step 5: Solve for x
    x = 32,745,598,343.10/209,017.56
  6. Step 6: Final answer
    x = 156,664.34

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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.