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Finding the Fourth Proportional to 114,560.94, 171,896.10 and 55,363.71

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Solution

The fourth proportional to 114,560.94, 171,896.10 and 55,363.71 is: 83,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,560.94 : 171,896.10 = 55,363.71 : x
  2. Step 2: Convert to fraction form
    114,560.94/171,896.10 = 55,363.71/x
  3. Step 3: Cross multiply
    114,560.94x = 171,896.10 × 55,363.71
  4. Step 4: Simplify right side
    114,560.94x = 9,516,805,830.53
  5. Step 5: Solve for x
    x = 9,516,805,830.53/114,560.94
  6. Step 6: Final answer
    x = 83,071.99

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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.