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Finding the Fourth Proportional to 125,825.40, 188,738.10 and 69,838.20

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Solution

The fourth proportional to 125,825.40, 188,738.10 and 69,838.20 is: 104,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,825.40 : 188,738.10 = 69,838.20 : x
  2. Step 2: Convert to fraction form
    125,825.40/188,738.10 = 69,838.20/x
  3. Step 3: Cross multiply
    125,825.40x = 188,738.10 × 69,838.20
  4. Step 4: Simplify right side
    125,825.40x = 13,181,129,175.42
  5. Step 5: Solve for x
    x = 13,181,129,175.42/125,825.40
  6. Step 6: Final answer
    x = 104,757.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.