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Finding the Fourth Proportional to 254,764.80, 382,098.60 and 77,277.60

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Solution

The fourth proportional to 254,764.80, 382,098.60 and 77,277.60 is: 115,901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,764.80 : 382,098.60 = 77,277.60 : x
  2. Step 2: Convert to fraction form
    254,764.80/382,098.60 = 77,277.60/x
  3. Step 3: Cross multiply
    254,764.80x = 382,098.60 × 77,277.60
  4. Step 4: Simplify right side
    254,764.80x = 29,527,662,771.36
  5. Step 5: Solve for x
    x = 29,527,662,771.36/254,764.80
  6. Step 6: Final answer
    x = 115,901.66

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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.