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Finding the Fourth Proportional to 269,073.10, 402,832.05 and 164,097.10

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Solution

The fourth proportional to 269,073.10, 402,832.05 and 164,097.10 is: 245,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,073.10 : 402,832.05 = 164,097.10 : x
  2. Step 2: Convert to fraction form
    269,073.10/402,832.05 = 164,097.10/x
  3. Step 3: Cross multiply
    269,073.10x = 402,832.05 × 164,097.10
  4. Step 4: Simplify right side
    269,073.10x = 66,103,571,192.06
  5. Step 5: Solve for x
    x = 66,103,571,192.06/269,073.10
  6. Step 6: Final answer
    x = 245,671.42

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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.