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Finding the Fourth Proportional to 219,050.96, 328,576.80 and 52,838.96

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Solution

The fourth proportional to 219,050.96, 328,576.80 and 52,838.96 is: 79,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,050.96 : 328,576.80 = 52,838.96 : x
  2. Step 2: Convert to fraction form
    219,050.96/328,576.80 = 52,838.96/x
  3. Step 3: Cross multiply
    219,050.96x = 328,576.80 × 52,838.96
  4. Step 4: Simplify right side
    219,050.96x = 17,361,656,392.13
  5. Step 5: Solve for x
    x = 17,361,656,392.13/219,050.96
  6. Step 6: Final answer
    x = 79,258.53

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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.