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Finding the Fourth Proportional to 171,281.40, 256,922.10 and 52,964.70

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Solution

The fourth proportional to 171,281.40, 256,922.10 and 52,964.70 is: 79,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,281.40 : 256,922.10 = 52,964.70 : x
  2. Step 2: Convert to fraction form
    171,281.40/256,922.10 = 52,964.70/x
  3. Step 3: Cross multiply
    171,281.40x = 256,922.10 × 52,964.70
  4. Step 4: Simplify right side
    171,281.40x = 13,607,801,949.87
  5. Step 5: Solve for x
    x = 13,607,801,949.87/171,281.40
  6. Step 6: Final answer
    x = 79,447.05

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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.