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Finding the Fourth Proportional to 219,188.91, 328,518.99 and 106,700.52

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Solution

The fourth proportional to 219,188.91, 328,518.99 and 106,700.52 is: 159,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,188.91 : 328,518.99 = 106,700.52 : x
  2. Step 2: Convert to fraction form
    219,188.91/328,518.99 = 106,700.52/x
  3. Step 3: Cross multiply
    219,188.91x = 328,518.99 × 106,700.52
  4. Step 4: Simplify right side
    219,188.91x = 35,053,147,062.87
  5. Step 5: Solve for x
    x = 35,053,147,062.87/219,188.91
  6. Step 6: Final answer
    x = 159,922.08

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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.