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Finding the Fourth Proportional to 209,427.76, 289,013.76 and 113,934.52

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Solution

The fourth proportional to 209,427.76, 289,013.76 and 113,934.52 is: 157,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,427.76 : 289,013.76 = 113,934.52 : x
  2. Step 2: Convert to fraction form
    209,427.76/289,013.76 = 113,934.52/x
  3. Step 3: Cross multiply
    209,427.76x = 289,013.76 × 113,934.52
  4. Step 4: Simplify right side
    209,427.76x = 32,928,644,019.00
  5. Step 5: Solve for x
    x = 32,928,644,019.00/209,427.76
  6. Step 6: Final answer
    x = 157,231.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.