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Finding the Fourth Proportional to 144,095.88, 198,894.55 and 83,693.68

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Solution

The fourth proportional to 144,095.88, 198,894.55 and 83,693.68 is: 115,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,095.88 : 198,894.55 = 83,693.68 : x
  2. Step 2: Convert to fraction form
    144,095.88/198,894.55 = 83,693.68/x
  3. Step 3: Cross multiply
    144,095.88x = 198,894.55 × 83,693.68
  4. Step 4: Simplify right side
    144,095.88x = 16,646,216,821.44
  5. Step 5: Solve for x
    x = 16,646,216,821.44/144,095.88
  6. Step 6: Final answer
    x = 115,521.81

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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.