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Finding the Fourth Proportional to 266,622.40, 399,933.51 and 106,770.34

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Solution

The fourth proportional to 266,622.40, 399,933.51 and 106,770.34 is: 160,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,622.40 : 399,933.51 = 106,770.34 : x
  2. Step 2: Convert to fraction form
    266,622.40/399,933.51 = 106,770.34/x
  3. Step 3: Cross multiply
    266,622.40x = 399,933.51 × 106,770.34
  4. Step 4: Simplify right side
    266,622.40x = 42,701,036,840.09
  5. Step 5: Solve for x
    x = 42,701,036,840.09/266,622.40
  6. Step 6: Final answer
    x = 160,155.47

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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.