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Finding the Fourth Proportional to 96,911.52, 145,218.89 and 65,204.12

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Solution

The fourth proportional to 96,911.52, 145,218.89 and 65,204.12 is: 97,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,911.52 : 145,218.89 = 65,204.12 : x
  2. Step 2: Convert to fraction form
    96,911.52/145,218.89 = 65,204.12/x
  3. Step 3: Cross multiply
    96,911.52x = 145,218.89 × 65,204.12
  4. Step 4: Simplify right side
    96,911.52x = 9,468,870,455.88
  5. Step 5: Solve for x
    x = 9,468,870,455.88/96,911.52
  6. Step 6: Final answer
    x = 97,706.35

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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.