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Finding the Fourth Proportional to 171,104.76, 256,564.74 and 121,282.44

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Solution

The fourth proportional to 171,104.76, 256,564.74 and 121,282.44 is: 181,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,104.76 : 256,564.74 = 121,282.44 : x
  2. Step 2: Convert to fraction form
    171,104.76/256,564.74 = 121,282.44/x
  3. Step 3: Cross multiply
    171,104.76x = 256,564.74 × 121,282.44
  4. Step 4: Simplify right side
    171,104.76x = 31,116,797,685.17
  5. Step 5: Solve for x
    x = 31,116,797,685.17/171,104.76
  6. Step 6: Final answer
    x = 181,858.17

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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.