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Finding the Fourth Proportional to 219,209.73, 328,824.16 and 69,461.06

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Solution

The fourth proportional to 219,209.73, 328,824.16 and 69,461.06 is: 104,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,209.73 : 328,824.16 = 69,461.06 : x
  2. Step 2: Convert to fraction form
    219,209.73/328,824.16 = 69,461.06/x
  3. Step 3: Cross multiply
    219,209.73x = 328,824.16 × 69,461.06
  4. Step 4: Simplify right side
    219,209.73x = 22,840,473,791.40
  5. Step 5: Solve for x
    x = 22,840,473,791.40/219,209.73
  6. Step 6: Final answer
    x = 104,194.62

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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.