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Finding the Fourth Proportional to 280,471.82, 387,051.09 and 153,147.52

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Solution

The fourth proportional to 280,471.82, 387,051.09 and 153,147.52 is: 211,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,471.82 : 387,051.09 = 153,147.52 : x
  2. Step 2: Convert to fraction form
    280,471.82/387,051.09 = 153,147.52/x
  3. Step 3: Cross multiply
    280,471.82x = 387,051.09 × 153,147.52
  4. Step 4: Simplify right side
    280,471.82x = 59,275,912,611.54
  5. Step 5: Solve for x
    x = 59,275,912,611.54/280,471.82
  6. Step 6: Final answer
    x = 211,343.56

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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.