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Finding the Fourth Proportional to 219,021.10, 328,542.45 and 114,045.10

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Solution

The fourth proportional to 219,021.10, 328,542.45 and 114,045.10 is: 171,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,021.10 : 328,542.45 = 114,045.10 : x
  2. Step 2: Convert to fraction form
    219,021.10/328,542.45 = 114,045.10/x
  3. Step 3: Cross multiply
    219,021.10x = 328,542.45 × 114,045.10
  4. Step 4: Simplify right side
    219,021.10x = 37,468,656,564.50
  5. Step 5: Solve for x
    x = 37,468,656,564.50/219,021.10
  6. Step 6: Final answer
    x = 171,073.27

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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.