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Finding the Fourth Proportional to 133,814.10, 200,721.15 and 54,902.10

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Solution

The fourth proportional to 133,814.10, 200,721.15 and 54,902.10 is: 82,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,814.10 : 200,721.15 = 54,902.10 : x
  2. Step 2: Convert to fraction form
    133,814.10/200,721.15 = 54,902.10/x
  3. Step 3: Cross multiply
    133,814.10x = 200,721.15 × 54,902.10
  4. Step 4: Simplify right side
    133,814.10x = 11,020,012,649.42
  5. Step 5: Solve for x
    x = 11,020,012,649.42/133,814.10
  6. Step 6: Final answer
    x = 82,353.15

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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.