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Finding the Fourth Proportional to 262,216.56, 361,858.08 and 149,061.12

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Solution

The fourth proportional to 262,216.56, 361,858.08 and 149,061.12 is: 205,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,216.56 : 361,858.08 = 149,061.12 : x
  2. Step 2: Convert to fraction form
    262,216.56/361,858.08 = 149,061.12/x
  3. Step 3: Cross multiply
    262,216.56x = 361,858.08 × 149,061.12
  4. Step 4: Simplify right side
    262,216.56x = 53,938,970,685.85
  5. Step 5: Solve for x
    x = 53,938,970,685.85/262,216.56
  6. Step 6: Final answer
    x = 205,703.91

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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.