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Finding the Fourth Proportional to 144,515.31, 199,438.88 and 80,849.31

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Solution

The fourth proportional to 144,515.31, 199,438.88 and 80,849.31 is: 111,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,515.31 : 199,438.88 = 80,849.31 : x
  2. Step 2: Convert to fraction form
    144,515.31/199,438.88 = 80,849.31/x
  3. Step 3: Cross multiply
    144,515.31x = 199,438.88 × 80,849.31
  4. Step 4: Simplify right side
    144,515.31x = 16,124,495,430.93
  5. Step 5: Solve for x
    x = 16,124,495,430.93/144,515.31
  6. Step 6: Final answer
    x = 111,576.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.