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Finding the Fourth Proportional to 105,409.20, 158,124.84 and 34,337.37

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Solution

The fourth proportional to 105,409.20, 158,124.84 and 34,337.37 is: 51,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,409.20 : 158,124.84 = 34,337.37 : x
  2. Step 2: Convert to fraction form
    105,409.20/158,124.84 = 34,337.37/x
  3. Step 3: Cross multiply
    105,409.20x = 158,124.84 × 34,337.37
  4. Step 4: Simplify right side
    105,409.20x = 5,429,591,137.27
  5. Step 5: Solve for x
    x = 5,429,591,137.27/105,409.20
  6. Step 6: Final answer
    x = 51,509.65

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