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Finding the Fourth Proportional to 155,760.10, 214,949.02 and 84,140.10

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Solution

The fourth proportional to 155,760.10, 214,949.02 and 84,140.10 is: 116,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,760.10 : 214,949.02 = 84,140.10 : x
  2. Step 2: Convert to fraction form
    155,760.10/214,949.02 = 84,140.10/x
  3. Step 3: Cross multiply
    155,760.10x = 214,949.02 × 84,140.10
  4. Step 4: Simplify right side
    155,760.10x = 18,085,832,037.70
  5. Step 5: Solve for x
    x = 18,085,832,037.70/155,760.10
  6. Step 6: Final answer
    x = 116,113.38

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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.