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Finding the Fourth Proportional to 96,849.80, 144,885.90 and 83,846.60

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Solution

The fourth proportional to 96,849.80, 144,885.90 and 83,846.60 is: 125,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,849.80 : 144,885.90 = 83,846.60 : x
  2. Step 2: Convert to fraction form
    96,849.80/144,885.90 = 83,846.60/x
  3. Step 3: Cross multiply
    96,849.80x = 144,885.90 × 83,846.60
  4. Step 4: Simplify right side
    96,849.80x = 12,148,190,102.94
  5. Step 5: Solve for x
    x = 12,148,190,102.94/96,849.80
  6. Step 6: Final answer
    x = 125,433.30

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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.