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Finding the Fourth Proportional to 171,949.53, 257,938.12 and 65,384.47

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Solution

The fourth proportional to 171,949.53, 257,938.12 and 65,384.47 is: 98,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,949.53 : 257,938.12 = 65,384.47 : x
  2. Step 2: Convert to fraction form
    171,949.53/257,938.12 = 65,384.47/x
  3. Step 3: Cross multiply
    171,949.53x = 257,938.12 × 65,384.47
  4. Step 4: Simplify right side
    171,949.53x = 16,865,146,222.25
  5. Step 5: Solve for x
    x = 16,865,146,222.25/171,949.53
  6. Step 6: Final answer
    x = 98,081.95

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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.