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Finding the Fourth Proportional to 262,019.78, 361,542.24 and 147,282.51

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Solution

The fourth proportional to 262,019.78, 361,542.24 and 147,282.51 is: 203,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,019.78 : 361,542.24 = 147,282.51 : x
  2. Step 2: Convert to fraction form
    262,019.78/361,542.24 = 147,282.51/x
  3. Step 3: Cross multiply
    262,019.78x = 361,542.24 × 147,282.51
  4. Step 4: Simplify right side
    262,019.78x = 53,248,847,138.72
  5. Step 5: Solve for x
    x = 53,248,847,138.72/262,019.78
  6. Step 6: Final answer
    x = 203,224.53

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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.