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Finding the Fourth Proportional to 294,093.22, 441,128.76 and 83,731.10

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Solution

The fourth proportional to 294,093.22, 441,128.76 and 83,731.10 is: 125,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,093.22 : 441,128.76 = 83,731.10 : x
  2. Step 2: Convert to fraction form
    294,093.22/441,128.76 = 83,731.10/x
  3. Step 3: Cross multiply
    294,093.22x = 441,128.76 × 83,731.10
  4. Step 4: Simplify right side
    294,093.22x = 36,936,196,316.44
  5. Step 5: Solve for x
    x = 36,936,196,316.44/294,093.22
  6. Step 6: Final answer
    x = 125,593.50

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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.