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Finding the Fourth Proportional to 219,823.27, 303,356.64 and 119,221.27

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Solution

The fourth proportional to 219,823.27, 303,356.64 and 119,221.27 is: 164,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,823.27 : 303,356.64 = 119,221.27 : x
  2. Step 2: Convert to fraction form
    219,823.27/303,356.64 = 119,221.27/x
  3. Step 3: Cross multiply
    219,823.27x = 303,356.64 × 119,221.27
  4. Step 4: Simplify right side
    219,823.27x = 36,166,563,572.42
  5. Step 5: Solve for x
    x = 36,166,563,572.42/219,823.27
  6. Step 6: Final answer
    x = 164,525.64

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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.