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Finding the Fourth Proportional to 96,564.10, 144,846.15 and 66,496.90

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Solution

The fourth proportional to 96,564.10, 144,846.15 and 66,496.90 is: 99,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564.10 : 144,846.15 = 66,496.90 : x
  2. Step 2: Convert to fraction form
    96,564.10/144,846.15 = 66,496.90/x
  3. Step 3: Cross multiply
    96,564.10x = 144,846.15 × 66,496.90
  4. Step 4: Simplify right side
    96,564.10x = 9,631,819,951.94
  5. Step 5: Solve for x
    x = 9,631,819,951.94/96,564.10
  6. Step 6: Final answer
    x = 99,745.35

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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.