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Finding the Fourth Proportional to 266,622.14, 399,933.62 and 106,770.06

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Solution

The fourth proportional to 266,622.14, 399,933.62 and 106,770.06 is: 160,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,622.14 : 399,933.62 = 106,770.06 : x
  2. Step 2: Convert to fraction form
    266,622.14/399,933.62 = 106,770.06/x
  3. Step 3: Cross multiply
    266,622.14x = 399,933.62 × 106,770.06
  4. Step 4: Simplify right side
    266,622.14x = 42,700,936,603.42
  5. Step 5: Solve for x
    x = 42,700,936,603.42/266,622.14
  6. Step 6: Final answer
    x = 160,155.25

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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.