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Finding the Fourth Proportional to 255,331.20, 382,996.80 and 65,791.20

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Solution

The fourth proportional to 255,331.20, 382,996.80 and 65,791.20 is: 98,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,331.20 : 382,996.80 = 65,791.20 : x
  2. Step 2: Convert to fraction form
    255,331.20/382,996.80 = 65,791.20/x
  3. Step 3: Cross multiply
    255,331.20x = 382,996.80 × 65,791.20
  4. Step 4: Simplify right side
    255,331.20x = 25,197,819,068.16
  5. Step 5: Solve for x
    x = 25,197,819,068.16/255,331.20
  6. Step 6: Final answer
    x = 98,686.80

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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.