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Finding the Fourth Proportional to 194,468.56, 291,491.92 and 99,568.60

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Solution

The fourth proportional to 194,468.56, 291,491.92 and 99,568.60 is: 149,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,468.56 : 291,491.92 = 99,568.60 : x
  2. Step 2: Convert to fraction form
    194,468.56/291,491.92 = 99,568.60/x
  3. Step 3: Cross multiply
    194,468.56x = 291,491.92 × 99,568.60
  4. Step 4: Simplify right side
    194,468.56x = 29,023,442,385.71
  5. Step 5: Solve for x
    x = 29,023,442,385.71/194,468.56
  6. Step 6: Final answer
    x = 149,244.91

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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.