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Finding the Fourth Proportional to 114,147.54, 171,217.89 and 44,041.98

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Solution

The fourth proportional to 114,147.54, 171,217.89 and 44,041.98 is: 66,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,147.54 : 171,217.89 = 44,041.98 : x
  2. Step 2: Convert to fraction form
    114,147.54/171,217.89 = 44,041.98/x
  3. Step 3: Cross multiply
    114,147.54x = 171,217.89 × 44,041.98
  4. Step 4: Simplify right side
    114,147.54x = 7,540,774,887.02
  5. Step 5: Solve for x
    x = 7,540,774,887.02/114,147.54
  6. Step 6: Final answer
    x = 66,061.65

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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.