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Finding the Fourth Proportional to 100,855.13, 151,299.12 and 29,784.96

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Solution

The fourth proportional to 100,855.13, 151,299.12 and 29,784.96 is: 44,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,855.13 : 151,299.12 = 29,784.96 : x
  2. Step 2: Convert to fraction form
    100,855.13/151,299.12 = 29,784.96/x
  3. Step 3: Cross multiply
    100,855.13x = 151,299.12 × 29,784.96
  4. Step 4: Simplify right side
    100,855.13x = 4,506,438,237.24
  5. Step 5: Solve for x
    x = 4,506,438,237.24/100,855.13
  6. Step 6: Final answer
    x = 44,682.29

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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.