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Finding the Fourth Proportional to 106,940.96, 160,411.24 and 43,790.52

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Solution

The fourth proportional to 106,940.96, 160,411.24 and 43,790.52 is: 65,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940.96 : 160,411.24 = 43,790.52 : x
  2. Step 2: Convert to fraction form
    106,940.96/160,411.24 = 43,790.52/x
  3. Step 3: Cross multiply
    106,940.96x = 160,411.24 × 43,790.52
  4. Step 4: Simplify right side
    106,940.96x = 7,024,492,023.40
  5. Step 5: Solve for x
    x = 7,024,492,023.40/106,940.96
  6. Step 6: Final answer
    x = 65,685.70

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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.