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Finding the Fourth Proportional to 253,221.58, 349,439.80 and 140,041.90

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Solution

The fourth proportional to 253,221.58, 349,439.80 and 140,041.90 is: 193,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,221.58 : 349,439.80 = 140,041.90 : x
  2. Step 2: Convert to fraction form
    253,221.58/349,439.80 = 140,041.90/x
  3. Step 3: Cross multiply
    253,221.58x = 349,439.80 × 140,041.90
  4. Step 4: Simplify right side
    253,221.58x = 48,936,213,527.62
  5. Step 5: Solve for x
    x = 48,936,213,527.62/253,221.58
  6. Step 6: Final answer
    x = 193,254.51

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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.