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Finding the Fourth Proportional to 209,451.30, 289,044.06 and 113,958.72

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Solution

The fourth proportional to 209,451.30, 289,044.06 and 113,958.72 is: 157,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,451.30 : 289,044.06 = 113,958.72 : x
  2. Step 2: Convert to fraction form
    209,451.30/289,044.06 = 113,958.72/x
  3. Step 3: Cross multiply
    209,451.30x = 289,044.06 × 113,958.72
  4. Step 4: Simplify right side
    209,451.30x = 32,939,091,101.20
  5. Step 5: Solve for x
    x = 32,939,091,101.20/209,451.30
  6. Step 6: Final answer
    x = 157,263.72

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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.