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Finding the Fourth Proportional to 209,235.68, 288,747.10 and 113,742.54

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Solution

The fourth proportional to 209,235.68, 288,747.10 and 113,742.54 is: 156,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,235.68 : 288,747.10 = 113,742.54 : x
  2. Step 2: Convert to fraction form
    209,235.68/288,747.10 = 113,742.54/x
  3. Step 3: Cross multiply
    209,235.68x = 288,747.10 × 113,742.54
  4. Step 4: Simplify right side
    209,235.68x = 32,842,828,571.63
  5. Step 5: Solve for x
    x = 32,842,828,571.63/209,235.68
  6. Step 6: Final answer
    x = 156,965.72

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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.