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Finding the Fourth Proportional to 144,130.98, 198,843.54 and 96,308.58

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Solution

The fourth proportional to 144,130.98, 198,843.54 and 96,308.58 is: 132,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,130.98 : 198,843.54 = 96,308.58 : x
  2. Step 2: Convert to fraction form
    144,130.98/198,843.54 = 96,308.58/x
  3. Step 3: Cross multiply
    144,130.98x = 198,843.54 × 96,308.58
  4. Step 4: Simplify right side
    144,130.98x = 19,150,338,979.57
  5. Step 5: Solve for x
    x = 19,150,338,979.57/144,130.98
  6. Step 6: Final answer
    x = 132,867.61

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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.