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Finding the Fourth Proportional to 185,200.83, 255,576.06 and 104,654.43

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Solution

The fourth proportional to 185,200.83, 255,576.06 and 104,654.43 is: 144,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200.83 : 255,576.06 = 104,654.43 : x
  2. Step 2: Convert to fraction form
    185,200.83/255,576.06 = 104,654.43/x
  3. Step 3: Cross multiply
    185,200.83x = 255,576.06 × 104,654.43
  4. Step 4: Simplify right side
    185,200.83x = 26,747,166,880.95
  5. Step 5: Solve for x
    x = 26,747,166,880.95/185,200.83
  6. Step 6: Final answer
    x = 144,422.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.