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Finding the Fourth Proportional to 164,960.66, 247,391.63 and 86,031.83

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Solution

The fourth proportional to 164,960.66, 247,391.63 and 86,031.83 is: 129,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,960.66 : 247,391.63 = 86,031.83 : x
  2. Step 2: Convert to fraction form
    164,960.66/247,391.63 = 86,031.83/x
  3. Step 3: Cross multiply
    164,960.66x = 247,391.63 × 86,031.83
  4. Step 4: Simplify right side
    164,960.66x = 21,283,555,166.52
  5. Step 5: Solve for x
    x = 21,283,555,166.52/164,960.66
  6. Step 6: Final answer
    x = 129,022.00

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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.