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Finding the Fourth Proportional to 118,963.14, 164,169.94 and 65,248.53

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Solution

The fourth proportional to 118,963.14, 164,169.94 and 65,248.53 is: 90,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,963.14 : 164,169.94 = 65,248.53 : x
  2. Step 2: Convert to fraction form
    118,963.14/164,169.94 = 65,248.53/x
  3. Step 3: Cross multiply
    118,963.14x = 164,169.94 × 65,248.53
  4. Step 4: Simplify right side
    118,963.14x = 10,711,847,255.19
  5. Step 5: Solve for x
    x = 10,711,847,255.19/118,963.14
  6. Step 6: Final answer
    x = 90,043.41

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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.