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Finding the Fourth Proportional to 219,320.52, 328,982.40 and 53,108.52

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Solution

The fourth proportional to 219,320.52, 328,982.40 and 53,108.52 is: 79,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,320.52 : 328,982.40 = 53,108.52 : x
  2. Step 2: Convert to fraction form
    219,320.52/328,982.40 = 53,108.52/x
  3. Step 3: Cross multiply
    219,320.52x = 328,982.40 × 53,108.52
  4. Step 4: Simplify right side
    219,320.52x = 17,471,768,370.05
  5. Step 5: Solve for x
    x = 17,471,768,370.05/219,320.52
  6. Step 6: Final answer
    x = 79,663.17

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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.