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Finding the Fourth Proportional to 100,773.12, 151,159.68 and 34,213.44

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Solution

The fourth proportional to 100,773.12, 151,159.68 and 34,213.44 is: 51,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,773.12 : 151,159.68 = 34,213.44 : x
  2. Step 2: Convert to fraction form
    100,773.12/151,159.68 = 34,213.44/x
  3. Step 3: Cross multiply
    100,773.12x = 151,159.68 × 34,213.44
  4. Step 4: Simplify right side
    100,773.12x = 5,171,692,642.10
  5. Step 5: Solve for x
    x = 5,171,692,642.10/100,773.12
  6. Step 6: Final answer
    x = 51,320.16

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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.