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Finding the Fourth Proportional to 114,459, 171,735.75 and 61,806.48

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Solution

The fourth proportional to 114,459, 171,735.75 and 61,806.48 is: 92,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459 : 171,735.75 = 61,806.48 : x
  2. Step 2: Convert to fraction form
    114,459/171,735.75 = 61,806.48/x
  3. Step 3: Cross multiply
    114,459x = 171,735.75 × 61,806.48
  4. Step 4: Simplify right side
    114,459x = 10,614,382,197.66
  5. Step 5: Solve for x
    x = 10,614,382,197.66/114,459
  6. Step 6: Final answer
    x = 92,735.23

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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.