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Finding the Fourth Proportional to 185,147.94, 255,503.64 and 100,264.98

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Solution

The fourth proportional to 185,147.94, 255,503.64 and 100,264.98 is: 138,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,147.94 : 255,503.64 = 100,264.98 : x
  2. Step 2: Convert to fraction form
    185,147.94/255,503.64 = 100,264.98/x
  3. Step 3: Cross multiply
    185,147.94x = 255,503.64 × 100,264.98
  4. Step 4: Simplify right side
    185,147.94x = 25,618,067,354.53
  5. Step 5: Solve for x
    x = 25,618,067,354.53/185,147.94
  6. Step 6: Final answer
    x = 138,365.39

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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.