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Finding the Fourth Proportional to 185,352.24, 255,787.02 and 100,468.56

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Solution

The fourth proportional to 185,352.24, 255,787.02 and 100,468.56 is: 138,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,352.24 : 255,787.02 = 100,468.56 : x
  2. Step 2: Convert to fraction form
    185,352.24/255,787.02 = 100,468.56/x
  3. Step 3: Cross multiply
    185,352.24x = 255,787.02 × 100,468.56
  4. Step 4: Simplify right side
    185,352.24x = 25,698,553,566.09
  5. Step 5: Solve for x
    x = 25,698,553,566.09/185,352.24
  6. Step 6: Final answer
    x = 138,647.12

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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.