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Finding the Fourth Proportional to 219,884.80, 329,827.20 and 109,292.80

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Solution

The fourth proportional to 219,884.80, 329,827.20 and 109,292.80 is: 163,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,884.80 : 329,827.20 = 109,292.80 : x
  2. Step 2: Convert to fraction form
    219,884.80/329,827.20 = 109,292.80/x
  3. Step 3: Cross multiply
    219,884.80x = 329,827.20 × 109,292.80
  4. Step 4: Simplify right side
    219,884.80x = 36,047,738,204.16
  5. Step 5: Solve for x
    x = 36,047,738,204.16/219,884.80
  6. Step 6: Final answer
    x = 163,939.20

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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.