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Finding the Fourth Proportional to 219,404.25, 329,106.38 and 53,192.25

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Solution

The fourth proportional to 219,404.25, 329,106.38 and 53,192.25 is: 79,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,404.25 : 329,106.38 = 53,192.25 : x
  2. Step 2: Convert to fraction form
    219,404.25/329,106.38 = 53,192.25/x
  3. Step 3: Cross multiply
    219,404.25x = 329,106.38 × 53,192.25
  4. Step 4: Simplify right side
    219,404.25x = 17,505,908,575.59
  5. Step 5: Solve for x
    x = 17,505,908,575.59/219,404.25
  6. Step 6: Final answer
    x = 79,788.38

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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.