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Finding the Fourth Proportional to 266,600.46, 399,900.62 and 106,748.38

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Solution

The fourth proportional to 266,600.46, 399,900.62 and 106,748.38 is: 160,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,600.46 : 399,900.62 = 106,748.38 : x
  2. Step 2: Convert to fraction form
    266,600.46/399,900.62 = 106,748.38/x
  3. Step 3: Cross multiply
    266,600.46x = 399,900.62 × 106,748.38
  4. Step 4: Simplify right side
    266,600.46x = 42,688,743,812.51
  5. Step 5: Solve for x
    x = 42,688,743,812.51/266,600.46
  6. Step 6: Final answer
    x = 160,122.54

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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.