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Finding the Fourth Proportional to 263,574.29, 363,732.74 and 142,715.64

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Solution

The fourth proportional to 263,574.29, 363,732.74 and 142,715.64 is: 196,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,574.29 : 363,732.74 = 142,715.64 : x
  2. Step 2: Convert to fraction form
    263,574.29/363,732.74 = 142,715.64/x
  3. Step 3: Cross multiply
    263,574.29x = 363,732.74 × 142,715.64
  4. Step 4: Simplify right side
    263,574.29x = 51,910,350,064.48
  5. Step 5: Solve for x
    x = 51,910,350,064.48/263,574.29
  6. Step 6: Final answer
    x = 196,947.70

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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.