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Finding the Fourth Proportional to 209,425.76, 289,011 and 113,932.52

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Solution

The fourth proportional to 209,425.76, 289,011 and 113,932.52 is: 157,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,425.76 : 289,011 = 113,932.52 : x
  2. Step 2: Convert to fraction form
    209,425.76/289,011 = 113,932.52/x
  3. Step 3: Cross multiply
    209,425.76x = 289,011 × 113,932.52
  4. Step 4: Simplify right side
    209,425.76x = 32,927,751,537.72
  5. Step 5: Solve for x
    x = 32,927,751,537.72/209,425.76
  6. Step 6: Final answer
    x = 157,228.76

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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.