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Finding the Fourth Proportional to 114,601.78, 171,784.41 and 48,080.53

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Solution

The fourth proportional to 114,601.78, 171,784.41 and 48,080.53 is: 72,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,601.78 : 171,784.41 = 48,080.53 : x
  2. Step 2: Convert to fraction form
    114,601.78/171,784.41 = 48,080.53/x
  3. Step 3: Cross multiply
    114,601.78x = 171,784.41 × 48,080.53
  4. Step 4: Simplify right side
    114,601.78x = 8,259,485,478.54
  5. Step 5: Solve for x
    x = 8,259,485,478.54/114,601.78
  6. Step 6: Final answer
    x = 72,071.18

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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.