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Finding the Fourth Proportional to 253,472.44, 349,869.84 and 146,114.24

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Solution

The fourth proportional to 253,472.44, 349,869.84 and 146,114.24 is: 201,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,472.44 : 349,869.84 = 146,114.24 : x
  2. Step 2: Convert to fraction form
    253,472.44/349,869.84 = 146,114.24/x
  3. Step 3: Cross multiply
    253,472.44x = 349,869.84 × 146,114.24
  4. Step 4: Simplify right side
    253,472.44x = 51,120,965,770.52
  5. Step 5: Solve for x
    x = 51,120,965,770.52/253,472.44
  6. Step 6: Final answer
    x = 201,682.54

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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.