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Finding the Fourth Proportional to 144,232.96, 200,059.84 and 140,396.80

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Solution

The fourth proportional to 144,232.96, 200,059.84 and 140,396.80 is: 194,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,232.96 : 200,059.84 = 140,396.80 : x
  2. Step 2: Convert to fraction form
    144,232.96/200,059.84 = 140,396.80/x
  3. Step 3: Cross multiply
    144,232.96x = 200,059.84 × 140,396.80
  4. Step 4: Simplify right side
    144,232.96x = 28,087,761,344.51
  5. Step 5: Solve for x
    x = 28,087,761,344.51/144,232.96
  6. Step 6: Final answer
    x = 194,738.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.