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Finding the Fourth Proportional to 219,947.55, 329,855.51 and 114,709.11

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Solution

The fourth proportional to 219,947.55, 329,855.51 and 114,709.11 is: 172,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,947.55 : 329,855.51 = 114,709.11 : x
  2. Step 2: Convert to fraction form
    219,947.55/329,855.51 = 114,709.11/x
  3. Step 3: Cross multiply
    219,947.55x = 329,855.51 × 114,709.11
  4. Step 4: Simplify right side
    219,947.55x = 37,837,431,407.15
  5. Step 5: Solve for x
    x = 37,837,431,407.15/219,947.55
  6. Step 6: Final answer
    x = 172,029.34

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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.