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Finding the Fourth Proportional to 254,824.80, 382,237.20 and 77,323.20

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Solution

The fourth proportional to 254,824.80, 382,237.20 and 77,323.20 is: 115,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,824.80 : 382,237.20 = 77,323.20 : x
  2. Step 2: Convert to fraction form
    254,824.80/382,237.20 = 77,323.20/x
  3. Step 3: Cross multiply
    254,824.80x = 382,237.20 × 77,323.20
  4. Step 4: Simplify right side
    254,824.80x = 29,555,803,463.04
  5. Step 5: Solve for x
    x = 29,555,803,463.04/254,824.80
  6. Step 6: Final answer
    x = 115,984.80

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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.