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Finding the Fourth Proportional to 254,836.22, 382,244.61 and 77,336.06

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Solution

The fourth proportional to 254,836.22, 382,244.61 and 77,336.06 is: 116,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,836.22 : 382,244.61 = 77,336.06 : x
  2. Step 2: Convert to fraction form
    254,836.22/382,244.61 = 77,336.06/x
  3. Step 3: Cross multiply
    254,836.22x = 382,244.61 × 77,336.06
  4. Step 4: Simplify right side
    254,836.22x = 29,561,292,093.64
  5. Step 5: Solve for x
    x = 29,561,292,093.64/254,836.22
  6. Step 6: Final answer
    x = 116,001.14

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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.