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Finding the Fourth Proportional to 111,415.41, 167,039.99 and 67,031.76

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Solution

The fourth proportional to 111,415.41, 167,039.99 and 67,031.76 is: 100,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,415.41 : 167,039.99 = 67,031.76 : x
  2. Step 2: Convert to fraction form
    111,415.41/167,039.99 = 67,031.76/x
  3. Step 3: Cross multiply
    111,415.41x = 167,039.99 × 67,031.76
  4. Step 4: Simplify right side
    111,415.41x = 11,196,984,687.66
  5. Step 5: Solve for x
    x = 11,196,984,687.66/111,415.41
  6. Step 6: Final answer
    x = 100,497.63

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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.