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Finding the Fourth Proportional to 219,710.52, 329,604.08 and 107,468.24

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Solution

The fourth proportional to 219,710.52, 329,604.08 and 107,468.24 is: 161,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,710.52 : 329,604.08 = 107,468.24 : x
  2. Step 2: Convert to fraction form
    219,710.52/329,604.08 = 107,468.24/x
  3. Step 3: Cross multiply
    219,710.52x = 329,604.08 × 107,468.24
  4. Step 4: Simplify right side
    219,710.52x = 35,421,968,189.06
  5. Step 5: Solve for x
    x = 35,421,968,189.06/219,710.52
  6. Step 6: Final answer
    x = 161,221.08

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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.