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Finding the Fourth Proportional to 114,085.94, 171,056 and 54,803.66

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Solution

The fourth proportional to 114,085.94, 171,056 and 54,803.66 is: 82,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,085.94 : 171,056 = 54,803.66 : x
  2. Step 2: Convert to fraction form
    114,085.94/171,056 = 54,803.66/x
  3. Step 3: Cross multiply
    114,085.94x = 171,056 × 54,803.66
  4. Step 4: Simplify right side
    114,085.94x = 9,374,494,864.96
  5. Step 5: Solve for x
    x = 9,374,494,864.96/114,085.94
  6. Step 6: Final answer
    x = 82,170.47

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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.