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Finding the Fourth Proportional to 262,158.21, 361,809.05 and 148,997.97

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Solution

The fourth proportional to 262,158.21, 361,809.05 and 148,997.97 is: 205,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,158.21 : 361,809.05 = 148,997.97 : x
  2. Step 2: Convert to fraction form
    262,158.21/361,809.05 = 148,997.97/x
  3. Step 3: Cross multiply
    262,158.21x = 361,809.05 × 148,997.97
  4. Step 4: Simplify right side
    262,158.21x = 53,908,813,232.64
  5. Step 5: Solve for x
    x = 53,908,813,232.64/262,158.21
  6. Step 6: Final answer
    x = 205,634.66

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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.