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Finding the Fourth Proportional to 133,214.26, 199,649.14 and 99,671.16

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Solution

The fourth proportional to 133,214.26, 199,649.14 and 99,671.16 is: 149,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,214.26 : 199,649.14 = 99,671.16 : x
  2. Step 2: Convert to fraction form
    133,214.26/199,649.14 = 99,671.16/x
  3. Step 3: Cross multiply
    133,214.26x = 199,649.14 × 99,671.16
  4. Step 4: Simplify right side
    133,214.26x = 19,899,261,376.80
  5. Step 5: Solve for x
    x = 19,899,261,376.80/133,214.26
  6. Step 6: Final answer
    x = 149,377.86

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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.