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Finding the Fourth Proportional to 242,930.34, 335,229.44 and 140,947.90

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Solution

The fourth proportional to 242,930.34, 335,229.44 and 140,947.90 is: 194,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,930.34 : 335,229.44 = 140,947.90 : x
  2. Step 2: Convert to fraction form
    242,930.34/335,229.44 = 140,947.90/x
  3. Step 3: Cross multiply
    242,930.34x = 335,229.44 × 140,947.90
  4. Step 4: Simplify right side
    242,930.34x = 47,249,884,043.36
  5. Step 5: Solve for x
    x = 47,249,884,043.36/242,930.34
  6. Step 6: Final answer
    x = 194,499.72

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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.