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Finding the Fourth Proportional to 262,776.96, 362,661.12 and 149,581.44

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Solution

The fourth proportional to 262,776.96, 362,661.12 and 149,581.44 is: 206,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,776.96 : 362,661.12 = 149,581.44 : x
  2. Step 2: Convert to fraction form
    262,776.96/362,661.12 = 149,581.44/x
  3. Step 3: Cross multiply
    262,776.96x = 362,661.12 × 149,581.44
  4. Step 4: Simplify right side
    262,776.96x = 54,247,372,561.61
  5. Step 5: Solve for x
    x = 54,247,372,561.61/262,776.96
  6. Step 6: Final answer
    x = 206,438.85

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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.