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Finding the Fourth Proportional to 149,543.80, 224,315.70 and 133,214.20

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Solution

The fourth proportional to 149,543.80, 224,315.70 and 133,214.20 is: 199,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,543.80 : 224,315.70 = 133,214.20 : x
  2. Step 2: Convert to fraction form
    149,543.80/224,315.70 = 133,214.20/x
  3. Step 3: Cross multiply
    149,543.80x = 224,315.70 × 133,214.20
  4. Step 4: Simplify right side
    149,543.80x = 29,882,036,522.94
  5. Step 5: Solve for x
    x = 29,882,036,522.94/149,543.80
  6. Step 6: Final answer
    x = 199,821.30

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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.