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Finding the Fourth Proportional to 219,951.72, 329,924.70 and 53,741.16

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Solution

The fourth proportional to 219,951.72, 329,924.70 and 53,741.16 is: 80,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,951.72 : 329,924.70 = 53,741.16 : x
  2. Step 2: Convert to fraction form
    219,951.72/329,924.70 = 53,741.16/x
  3. Step 3: Cross multiply
    219,951.72x = 329,924.70 × 53,741.16
  4. Step 4: Simplify right side
    219,951.72x = 17,730,536,090.65
  5. Step 5: Solve for x
    x = 17,730,536,090.65/219,951.72
  6. Step 6: Final answer
    x = 80,611.04

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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.