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Finding the Fourth Proportional to 114,777.24, 172,138.51 and 48,218.66

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Solution

The fourth proportional to 114,777.24, 172,138.51 and 48,218.66 is: 72,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,777.24 : 172,138.51 = 48,218.66 : x
  2. Step 2: Convert to fraction form
    114,777.24/172,138.51 = 48,218.66/x
  3. Step 3: Cross multiply
    114,777.24x = 172,138.51 × 48,218.66
  4. Step 4: Simplify right side
    114,777.24x = 8,300,288,286.60
  5. Step 5: Solve for x
    x = 8,300,288,286.60/114,777.24
  6. Step 6: Final answer
    x = 72,316.50

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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.