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Finding the Fourth Proportional to 105,800.83, 158,763.31 and 39,287.14

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Solution

The fourth proportional to 105,800.83, 158,763.31 and 39,287.14 is: 58,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,800.83 : 158,763.31 = 39,287.14 : x
  2. Step 2: Convert to fraction form
    105,800.83/158,763.31 = 39,287.14/x
  3. Step 3: Cross multiply
    105,800.83x = 158,763.31 × 39,287.14
  4. Step 4: Simplify right side
    105,800.83x = 6,237,355,891.71
  5. Step 5: Solve for x
    x = 6,237,355,891.71/105,800.83
  6. Step 6: Final answer
    x = 58,953.75

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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.