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Finding the Fourth Proportional to 117,224.16, 161,769.16 and 63,509.44

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Solution

The fourth proportional to 117,224.16, 161,769.16 and 63,509.44 is: 87,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,224.16 : 161,769.16 = 63,509.44 : x
  2. Step 2: Convert to fraction form
    117,224.16/161,769.16 = 63,509.44/x
  3. Step 3: Cross multiply
    117,224.16x = 161,769.16 × 63,509.44
  4. Step 4: Simplify right side
    117,224.16x = 10,273,868,760.87
  5. Step 5: Solve for x
    x = 10,273,868,760.87/117,224.16
  6. Step 6: Final answer
    x = 87,642.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.