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Finding the Fourth Proportional to 118,904.97, 164,084.49 and 65,188.81

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Solution

The fourth proportional to 118,904.97, 164,084.49 and 65,188.81 is: 89,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,904.97 : 164,084.49 = 65,188.81 : x
  2. Step 2: Convert to fraction form
    118,904.97/164,084.49 = 65,188.81/x
  3. Step 3: Cross multiply
    118,904.97x = 164,084.49 × 65,188.81
  4. Step 4: Simplify right side
    118,904.97x = 10,696,472,642.56
  5. Step 5: Solve for x
    x = 10,696,472,642.56/118,904.97
  6. Step 6: Final answer
    x = 89,958.16

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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.