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Finding the Fourth Proportional to 219,077.52, 328,616.30 and 52,865.52

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Solution

The fourth proportional to 219,077.52, 328,616.30 and 52,865.52 is: 79,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,077.52 : 328,616.30 = 52,865.52 : x
  2. Step 2: Convert to fraction form
    219,077.52/328,616.30 = 52,865.52/x
  3. Step 3: Cross multiply
    219,077.52x = 328,616.30 × 52,865.52
  4. Step 4: Simplify right side
    219,077.52x = 17,372,471,579.98
  5. Step 5: Solve for x
    x = 17,372,471,579.98/219,077.52
  6. Step 6: Final answer
    x = 79,298.28

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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.