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Finding the Fourth Proportional to 144,005.81, 198,696.22 and 83,541.42

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Solution

The fourth proportional to 144,005.81, 198,696.22 and 83,541.42 is: 115,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005.81 : 198,696.22 = 83,541.42 : x
  2. Step 2: Convert to fraction form
    144,005.81/198,696.22 = 83,541.42/x
  3. Step 3: Cross multiply
    144,005.81x = 198,696.22 × 83,541.42
  4. Step 4: Simplify right side
    144,005.81x = 16,599,364,367.43
  5. Step 5: Solve for x
    x = 16,599,364,367.43/144,005.81
  6. Step 6: Final answer
    x = 115,268.71

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1.5x scale

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.