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Finding the Fourth Proportional to 171,952.10, 257,972.88 and 65,338.10

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Solution

The fourth proportional to 171,952.10, 257,972.88 and 65,338.10 is: 98,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,952.10 : 257,972.88 = 65,338.10 : x
  2. Step 2: Convert to fraction form
    171,952.10/257,972.88 = 65,338.10/x
  3. Step 3: Cross multiply
    171,952.10x = 257,972.88 × 65,338.10
  4. Step 4: Simplify right side
    171,952.10x = 16,855,457,830.73
  5. Step 5: Solve for x
    x = 16,855,457,830.73/171,952.10
  6. Step 6: Final answer
    x = 98,024.15

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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.