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Finding the Fourth Proportional to 144,016.43, 198,710.87 and 83,552.06

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Solution

The fourth proportional to 144,016.43, 198,710.87 and 83,552.06 is: 115,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,016.43 : 198,710.87 = 83,552.06 : x
  2. Step 2: Convert to fraction form
    144,016.43/198,710.87 = 83,552.06/x
  3. Step 3: Cross multiply
    144,016.43x = 198,710.87 × 83,552.06
  4. Step 4: Simplify right side
    144,016.43x = 16,602,701,121.58
  5. Step 5: Solve for x
    x = 16,602,701,121.58/144,016.43
  6. Step 6: Final answer
    x = 115,283.39

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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.