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Finding the Fourth Proportional to 105,651.88, 158,487.64 and 38,200.82

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Solution

The fourth proportional to 105,651.88, 158,487.64 and 38,200.82 is: 57,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,651.88 : 158,487.64 = 38,200.82 : x
  2. Step 2: Convert to fraction form
    105,651.88/158,487.64 = 38,200.82/x
  3. Step 3: Cross multiply
    105,651.88x = 158,487.64 × 38,200.82
  4. Step 4: Simplify right side
    105,651.88x = 6,054,356,919.92
  5. Step 5: Solve for x
    x = 6,054,356,919.92/105,651.88
  6. Step 6: Final answer
    x = 57,304.77

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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.