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Finding the Fourth Proportional to 105,894.44, 158,806.42 and 42,698.24

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Solution

The fourth proportional to 105,894.44, 158,806.42 and 42,698.24 is: 64,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894.44 : 158,806.42 = 42,698.24 : x
  2. Step 2: Convert to fraction form
    105,894.44/158,806.42 = 42,698.24/x
  3. Step 3: Cross multiply
    105,894.44x = 158,806.42 × 42,698.24
  4. Step 4: Simplify right side
    105,894.44x = 6,780,753,627.18
  5. Step 5: Solve for x
    x = 6,780,753,627.18/105,894.44
  6. Step 6: Final answer
    x = 64,033.14

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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.