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Finding the Fourth Proportional to 209,038.53, 288,471.90 and 113,544.39

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Solution

The fourth proportional to 209,038.53, 288,471.90 and 113,544.39 is: 156,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,038.53 : 288,471.90 = 113,544.39 : x
  2. Step 2: Convert to fraction form
    209,038.53/288,471.90 = 113,544.39/x
  3. Step 3: Cross multiply
    209,038.53x = 288,471.90 × 113,544.39
  4. Step 4: Simplify right side
    209,038.53x = 32,754,365,917.64
  5. Step 5: Solve for x
    x = 32,754,365,917.64/209,038.53
  6. Step 6: Final answer
    x = 156,690.57

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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.