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Finding the Fourth Proportional to 291,567.30, 437,199.75 and 133,659.78

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Solution

The fourth proportional to 291,567.30, 437,199.75 and 133,659.78 is: 200,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,567.30 : 437,199.75 = 133,659.78 : x
  2. Step 2: Convert to fraction form
    291,567.30/437,199.75 = 133,659.78/x
  3. Step 3: Cross multiply
    291,567.30x = 437,199.75 × 133,659.78
  4. Step 4: Simplify right side
    291,567.30x = 58,436,022,401.06
  5. Step 5: Solve for x
    x = 58,436,022,401.06/291,567.30
  6. Step 6: Final answer
    x = 200,420.36

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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.