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Finding the Fourth Proportional to 105,843.97, 158,802.41 and 53,210.17

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Solution

The fourth proportional to 105,843.97, 158,802.41 and 53,210.17 is: 79,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,843.97 : 158,802.41 = 53,210.17 : x
  2. Step 2: Convert to fraction form
    105,843.97/158,802.41 = 53,210.17/x
  3. Step 3: Cross multiply
    105,843.97x = 158,802.41 × 53,210.17
  4. Step 4: Simplify right side
    105,843.97x = 8,449,903,232.51
  5. Step 5: Solve for x
    x = 8,449,903,232.51/105,843.97
  6. Step 6: Final answer
    x = 79,833.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.