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Finding the Fourth Proportional to 254,844.60, 382,169.70 and 77,292.60

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Solution

The fourth proportional to 254,844.60, 382,169.70 and 77,292.60 is: 115,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,844.60 : 382,169.70 = 77,292.60 : x
  2. Step 2: Convert to fraction form
    254,844.60/382,169.70 = 77,292.60/x
  3. Step 3: Cross multiply
    254,844.60x = 382,169.70 × 77,292.60
  4. Step 4: Simplify right side
    254,844.60x = 29,538,889,754.22
  5. Step 5: Solve for x
    x = 29,538,889,754.22/254,844.60
  6. Step 6: Final answer
    x = 115,909.42

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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.