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Finding the Fourth Proportional to 149,675.67, 224,543.09 and 54,906.74

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Solution

The fourth proportional to 149,675.67, 224,543.09 and 54,906.74 is: 82,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,675.67 : 224,543.09 = 54,906.74 : x
  2. Step 2: Convert to fraction form
    149,675.67/224,543.09 = 54,906.74/x
  3. Step 3: Cross multiply
    149,675.67x = 224,543.09 × 54,906.74
  4. Step 4: Simplify right side
    149,675.67x = 12,328,929,061.43
  5. Step 5: Solve for x
    x = 12,328,929,061.43/149,675.67
  6. Step 6: Final answer
    x = 82,370.96

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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.