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Finding the Fourth Proportional to 219,778.88, 303,294.98 and 119,176.88

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Solution

The fourth proportional to 219,778.88, 303,294.98 and 119,176.88 is: 164,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,778.88 : 303,294.98 = 119,176.88 : x
  2. Step 2: Convert to fraction form
    219,778.88/303,294.98 = 119,176.88/x
  3. Step 3: Cross multiply
    219,778.88x = 303,294.98 × 119,176.88
  4. Step 4: Simplify right side
    219,778.88x = 36,145,748,217.53
  5. Step 5: Solve for x
    x = 36,145,748,217.53/219,778.88
  6. Step 6: Final answer
    x = 164,464.16

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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.