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Finding the Fourth Proportional to 114,177.44, 171,148.44 and 47,656.28

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Solution

The fourth proportional to 114,177.44, 171,148.44 and 47,656.28 is: 71,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,177.44 : 171,148.44 = 47,656.28 : x
  2. Step 2: Convert to fraction form
    114,177.44/171,148.44 = 47,656.28/x
  3. Step 3: Cross multiply
    114,177.44x = 171,148.44 × 47,656.28
  4. Step 4: Simplify right side
    114,177.44x = 8,156,297,978.20
  5. Step 5: Solve for x
    x = 8,156,297,978.20/114,177.44
  6. Step 6: Final answer
    x = 71,435.29

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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.