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Finding the Fourth Proportional to 267,069.34, 400,509.24 and 98,553.70

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Solution

The fourth proportional to 267,069.34, 400,509.24 and 98,553.70 is: 147,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,069.34 : 400,509.24 = 98,553.70 : x
  2. Step 2: Convert to fraction form
    267,069.34/400,509.24 = 98,553.70/x
  3. Step 3: Cross multiply
    267,069.34x = 400,509.24 × 98,553.70
  4. Step 4: Simplify right side
    267,069.34x = 39,471,667,486.19
  5. Step 5: Solve for x
    x = 39,471,667,486.19/267,069.34
  6. Step 6: Final answer
    x = 147,795.58

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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.