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Finding the Fourth Proportional to 269,321.72, 371,661.41 and 146,814.08

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Solution

The fourth proportional to 269,321.72, 371,661.41 and 146,814.08 is: 202,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,321.72 : 371,661.41 = 146,814.08 : x
  2. Step 2: Convert to fraction form
    269,321.72/371,661.41 = 146,814.08/x
  3. Step 3: Cross multiply
    269,321.72x = 371,661.41 × 146,814.08
  4. Step 4: Simplify right side
    269,321.72x = 54,565,125,388.28
  5. Step 5: Solve for x
    x = 54,565,125,388.28/269,321.72
  6. Step 6: Final answer
    x = 202,602.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.