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Finding the Fourth Proportional to 401,773.10, 602,234.40 and 148,891.10

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Solution

The fourth proportional to 401,773.10, 602,234.40 and 148,891.10 is: 223,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,773.10 : 602,234.40 = 148,891.10 : x
  2. Step 2: Convert to fraction form
    401,773.10/602,234.40 = 148,891.10/x
  3. Step 3: Cross multiply
    401,773.10x = 602,234.40 × 148,891.10
  4. Step 4: Simplify right side
    401,773.10x = 89,667,342,273.84
  5. Step 5: Solve for x
    x = 89,667,342,273.84/401,773.10
  6. Step 6: Final answer
    x = 223,179.06

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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.