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Finding the Fourth Proportional to 133,215.26, 199,650.64 and 99,672.16

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Solution

The fourth proportional to 133,215.26, 199,650.64 and 99,672.16 is: 149,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,215.26 : 199,650.64 = 99,672.16 : x
  2. Step 2: Convert to fraction form
    133,215.26/199,650.64 = 99,672.16/x
  3. Step 3: Cross multiply
    133,215.26x = 199,650.64 × 99,672.16
  4. Step 4: Simplify right side
    133,215.26x = 19,899,610,534.18
  5. Step 5: Solve for x
    x = 19,899,610,534.18/133,215.26
  6. Step 6: Final answer
    x = 149,379.36

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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.