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Finding the Fourth Proportional to 255,247.44, 382,890.60 and 77,769.60

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Solution

The fourth proportional to 255,247.44, 382,890.60 and 77,769.60 is: 116,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,247.44 : 382,890.60 = 77,769.60 : x
  2. Step 2: Convert to fraction form
    255,247.44/382,890.60 = 77,769.60/x
  3. Step 3: Cross multiply
    255,247.44x = 382,890.60 × 77,769.60
  4. Step 4: Simplify right side
    255,247.44x = 29,777,248,805.76
  5. Step 5: Solve for x
    x = 29,777,248,805.76/255,247.44
  6. Step 6: Final answer
    x = 116,660.32

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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.