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Finding the Fourth Proportional to 116,757, 161,124.84 and 66,456

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Solution

The fourth proportional to 116,757, 161,124.84 and 66,456 is: 91,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,757 : 161,124.84 = 66,456 : x
  2. Step 2: Convert to fraction form
    116,757/161,124.84 = 66,456/x
  3. Step 3: Cross multiply
    116,757x = 161,124.84 × 66,456
  4. Step 4: Simplify right side
    116,757x = 10,707,712,367.04
  5. Step 5: Solve for x
    x = 10,707,712,367.04/116,757
  6. Step 6: Final answer
    x = 91,709.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.