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Finding the Fourth Proportional to 171,142.74, 256,748.32 and 52,809.62

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Solution

The fourth proportional to 171,142.74, 256,748.32 and 52,809.62 is: 79,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,142.74 : 256,748.32 = 52,809.62 : x
  2. Step 2: Convert to fraction form
    171,142.74/256,748.32 = 52,809.62/x
  3. Step 3: Cross multiply
    171,142.74x = 256,748.32 × 52,809.62
  4. Step 4: Simplify right side
    171,142.74x = 13,558,781,214.84
  5. Step 5: Solve for x
    x = 13,558,781,214.84/171,142.74
  6. Step 6: Final answer
    x = 79,224.99

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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.