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Finding the Fourth Proportional to 118,942.95, 164,143.53 and 65,224.77

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Solution

The fourth proportional to 118,942.95, 164,143.53 and 65,224.77 is: 90,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,942.95 : 164,143.53 = 65,224.77 : x
  2. Step 2: Convert to fraction form
    118,942.95/164,143.53 = 65,224.77/x
  3. Step 3: Cross multiply
    118,942.95x = 164,143.53 × 65,224.77
  4. Step 4: Simplify right side
    118,942.95x = 10,706,223,991.24
  5. Step 5: Solve for x
    x = 10,706,223,991.24/118,942.95
  6. Step 6: Final answer
    x = 90,011.42

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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.