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Finding the Fourth Proportional to 209,537.42, 289,167.78 and 114,050.30

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Solution

The fourth proportional to 209,537.42, 289,167.78 and 114,050.30 is: 157,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,537.42 : 289,167.78 = 114,050.30 : x
  2. Step 2: Convert to fraction form
    209,537.42/289,167.78 = 114,050.30/x
  3. Step 3: Cross multiply
    209,537.42x = 289,167.78 × 114,050.30
  4. Step 4: Simplify right side
    209,537.42x = 32,979,672,059.33
  5. Step 5: Solve for x
    x = 32,979,672,059.33/209,537.42
  6. Step 6: Final answer
    x = 157,392.76

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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.