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Finding the Fourth Proportional to 164,864.10, 247,166.96 and 65,098.97

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Solution

The fourth proportional to 164,864.10, 247,166.96 and 65,098.97 is: 97,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,864.10 : 247,166.96 = 65,098.97 : x
  2. Step 2: Convert to fraction form
    164,864.10/247,166.96 = 65,098.97/x
  3. Step 3: Cross multiply
    164,864.10x = 247,166.96 × 65,098.97
  4. Step 4: Simplify right side
    164,864.10x = 16,090,313,879.58
  5. Step 5: Solve for x
    x = 16,090,313,879.58/164,864.10
  6. Step 6: Final answer
    x = 97,597.44

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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.