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Finding the Fourth Proportional to 105,367.50, 158,018.44 and 35,230.41

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Solution

The fourth proportional to 105,367.50, 158,018.44 and 35,230.41 is: 52,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,367.50 : 158,018.44 = 35,230.41 : x
  2. Step 2: Convert to fraction form
    105,367.50/158,018.44 = 35,230.41/x
  3. Step 3: Cross multiply
    105,367.50x = 158,018.44 × 35,230.41
  4. Step 4: Simplify right side
    105,367.50x = 5,567,054,428.76
  5. Step 5: Solve for x
    x = 5,567,054,428.76/105,367.50
  6. Step 6: Final answer
    x = 52,834.64

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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.