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Finding the Fourth Proportional to 263,692.05, 363,894.86 and 142,833.06

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Solution

The fourth proportional to 263,692.05, 363,894.86 and 142,833.06 is: 197,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,692.05 : 363,894.86 = 142,833.06 : x
  2. Step 2: Convert to fraction form
    263,692.05/363,894.86 = 142,833.06/x
  3. Step 3: Cross multiply
    263,692.05x = 363,894.86 × 142,833.06
  4. Step 4: Simplify right side
    263,692.05x = 51,976,216,372.07
  5. Step 5: Solve for x
    x = 51,976,216,372.07/263,692.05
  6. Step 6: Final answer
    x = 197,109.53

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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.