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Finding the Fourth Proportional to 242,957.44, 335,206.83 and 140,947.48

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Solution

The fourth proportional to 242,957.44, 335,206.83 and 140,947.48 is: 194,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,957.44 : 335,206.83 = 140,947.48 : x
  2. Step 2: Convert to fraction form
    242,957.44/335,206.83 = 140,947.48/x
  3. Step 3: Cross multiply
    242,957.44x = 335,206.83 × 140,947.48
  4. Step 4: Simplify right side
    242,957.44x = 47,246,557,967.29
  5. Step 5: Solve for x
    x = 47,246,557,967.29/242,957.44
  6. Step 6: Final answer
    x = 194,464.34

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1.5x scale

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.