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Finding the Fourth Proportional to 100,219.16, 150,328.64 and 41,054.94

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Solution

The fourth proportional to 100,219.16, 150,328.64 and 41,054.94 is: 61,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.16 : 150,328.64 = 41,054.94 : x
  2. Step 2: Convert to fraction form
    100,219.16/150,328.64 = 41,054.94/x
  3. Step 3: Cross multiply
    100,219.16x = 150,328.64 × 41,054.94
  4. Step 4: Simplify right side
    100,219.16x = 6,171,733,398.12
  5. Step 5: Solve for x
    x = 6,171,733,398.12/100,219.16
  6. Step 6: Final answer
    x = 61,582.37

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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.