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Finding the Fourth Proportional to 263,410.80, 363,506.86 and 142,552.08

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Solution

The fourth proportional to 263,410.80, 363,506.86 and 142,552.08 is: 196,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,410.80 : 363,506.86 = 142,552.08 : x
  2. Step 2: Convert to fraction form
    263,410.80/363,506.86 = 142,552.08/x
  3. Step 3: Cross multiply
    263,410.80x = 363,506.86 × 142,552.08
  4. Step 4: Simplify right side
    263,410.80x = 51,818,658,987.27
  5. Step 5: Solve for x
    x = 51,818,658,987.27/263,410.80
  6. Step 6: Final answer
    x = 196,721.85

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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.