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Finding the Fourth Proportional to 144,051.54, 198,789.98 and 83,627.79

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Solution

The fourth proportional to 144,051.54, 198,789.98 and 83,627.79 is: 115,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,051.54 : 198,789.98 = 83,627.79 : x
  2. Step 2: Convert to fraction form
    144,051.54/198,789.98 = 83,627.79/x
  3. Step 3: Cross multiply
    144,051.54x = 198,789.98 × 83,627.79
  4. Step 4: Simplify right side
    144,051.54x = 16,624,366,283.41
  5. Step 5: Solve for x
    x = 16,624,366,283.41/144,051.54
  6. Step 6: Final answer
    x = 115,405.68

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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.