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Finding the Fourth Proportional to 194,297.71, 291,485.84 and 81,978.20

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Solution

The fourth proportional to 194,297.71, 291,485.84 and 81,978.20 is: 122,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,297.71 : 291,485.84 = 81,978.20 : x
  2. Step 2: Convert to fraction form
    194,297.71/291,485.84 = 81,978.20/x
  3. Step 3: Cross multiply
    194,297.71x = 291,485.84 × 81,978.20
  4. Step 4: Simplify right side
    194,297.71x = 23,895,484,078.80
  5. Step 5: Solve for x
    x = 23,895,484,078.80/194,297.71
  6. Step 6: Final answer
    x = 122,983.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.