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Finding the Fourth Proportional to 203,493.49, 305,254.86 and 53,732.28

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Solution

The fourth proportional to 203,493.49, 305,254.86 and 53,732.28 is: 80,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,493.49 : 305,254.86 = 53,732.28 : x
  2. Step 2: Convert to fraction form
    203,493.49/305,254.86 = 53,732.28/x
  3. Step 3: Cross multiply
    203,493.49x = 305,254.86 × 53,732.28
  4. Step 4: Simplify right side
    203,493.49x = 16,402,039,608.88
  5. Step 5: Solve for x
    x = 16,402,039,608.88/203,493.49
  6. Step 6: Final answer
    x = 80,602.28

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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.