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Finding the Fourth Proportional to 106,803.92, 160,196.16 and 27,916.40

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Solution

The fourth proportional to 106,803.92, 160,196.16 and 27,916.40 is: 41,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,803.92 : 160,196.16 = 27,916.40 : x
  2. Step 2: Convert to fraction form
    106,803.92/160,196.16 = 27,916.40/x
  3. Step 3: Cross multiply
    106,803.92x = 160,196.16 × 27,916.40
  4. Step 4: Simplify right side
    106,803.92x = 4,472,100,081.02
  5. Step 5: Solve for x
    x = 4,472,100,081.02/106,803.92
  6. Step 6: Final answer
    x = 41,872.06

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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.