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Finding the Fourth Proportional to 219,803.42, 303,328.89 and 119,201.42

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Solution

The fourth proportional to 219,803.42, 303,328.89 and 119,201.42 is: 164,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,803.42 : 303,328.89 = 119,201.42 : x
  2. Step 2: Convert to fraction form
    219,803.42/303,328.89 = 119,201.42/x
  3. Step 3: Cross multiply
    219,803.42x = 303,328.89 × 119,201.42
  4. Step 4: Simplify right side
    219,803.42x = 36,157,234,415.02
  5. Step 5: Solve for x
    x = 36,157,234,415.02/219,803.42
  6. Step 6: Final answer
    x = 164,498.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.