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Finding the Fourth Proportional to 219,209.94, 328,620.51 and 106,827.30

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Solution

The fourth proportional to 219,209.94, 328,620.51 and 106,827.30 is: 160,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,209.94 : 328,620.51 = 106,827.30 : x
  2. Step 2: Convert to fraction form
    219,209.94/328,620.51 = 106,827.30/x
  3. Step 3: Cross multiply
    219,209.94x = 328,620.51 × 106,827.30
  4. Step 4: Simplify right side
    219,209.94x = 35,105,641,807.92
  5. Step 5: Solve for x
    x = 35,105,641,807.92/219,209.94
  6. Step 6: Final answer
    x = 160,146.21

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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.