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Finding the Fourth Proportional to 269,709, 404,582.94 and 103,497

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Solution

The fourth proportional to 269,709, 404,582.94 and 103,497 is: 155,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,709 : 404,582.94 = 103,497 : x
  2. Step 2: Convert to fraction form
    269,709/404,582.94 = 103,497/x
  3. Step 3: Cross multiply
    269,709x = 404,582.94 × 103,497
  4. Step 4: Simplify right side
    269,709x = 41,873,120,541.18
  5. Step 5: Solve for x
    x = 41,873,120,541.18/269,709
  6. Step 6: Final answer
    x = 155,252.96

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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.