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Finding the Fourth Proportional to 219,398.52, 328,535.96 and 151,837.02

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Solution

The fourth proportional to 219,398.52, 328,535.96 and 151,837.02 is: 227,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,398.52 : 328,535.96 = 151,837.02 : x
  2. Step 2: Convert to fraction form
    219,398.52/328,535.96 = 151,837.02/x
  3. Step 3: Cross multiply
    219,398.52x = 328,535.96 × 151,837.02
  4. Step 4: Simplify right side
    219,398.52x = 49,883,920,370.05
  5. Step 5: Solve for x
    x = 49,883,920,370.05/219,398.52
  6. Step 6: Final answer
    x = 227,366.71

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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.