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Finding the Fourth Proportional to 171,864.64, 257,810.80 and 65,299.66

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Solution

The fourth proportional to 171,864.64, 257,810.80 and 65,299.66 is: 97,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,864.64 : 257,810.80 = 65,299.66 : x
  2. Step 2: Convert to fraction form
    171,864.64/257,810.80 = 65,299.66/x
  3. Step 3: Cross multiply
    171,864.64x = 257,810.80 × 65,299.66
  4. Step 4: Simplify right side
    171,864.64x = 16,834,957,584.33
  5. Step 5: Solve for x
    x = 16,834,957,584.33/171,864.64
  6. Step 6: Final answer
    x = 97,954.75

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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.