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Finding the Fourth Proportional to 291,767.59, 437,651.34 and 92,228.05

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Solution

The fourth proportional to 291,767.59, 437,651.34 and 92,228.05 is: 138,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,767.59 : 437,651.34 = 92,228.05 : x
  2. Step 2: Convert to fraction form
    291,767.59/437,651.34 = 92,228.05/x
  3. Step 3: Cross multiply
    291,767.59x = 437,651.34 × 92,228.05
  4. Step 4: Simplify right side
    291,767.59x = 40,363,729,668.09
  5. Step 5: Solve for x
    x = 40,363,729,668.09/291,767.59
  6. Step 6: Final answer
    x = 138,342.06

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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.