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Finding the Fourth Proportional to 171,054.14, 256,581.20 and 76,259.84

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Solution

The fourth proportional to 171,054.14, 256,581.20 and 76,259.84 is: 114,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,054.14 : 256,581.20 = 76,259.84 : x
  2. Step 2: Convert to fraction form
    171,054.14/256,581.20 = 76,259.84/x
  3. Step 3: Cross multiply
    171,054.14x = 256,581.20 × 76,259.84
  4. Step 4: Simplify right side
    171,054.14x = 19,566,841,259.01
  5. Step 5: Solve for x
    x = 19,566,841,259.01/171,054.14
  6. Step 6: Final answer
    x = 114,389.76

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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.