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Finding the Fourth Proportional to 269,321.51, 371,664.63 and 146,813.24

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Solution

The fourth proportional to 269,321.51, 371,664.63 and 146,813.24 is: 202,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,321.51 : 371,664.63 = 146,813.24 : x
  2. Step 2: Convert to fraction form
    269,321.51/371,664.63 = 146,813.24/x
  3. Step 3: Cross multiply
    269,321.51x = 371,664.63 × 146,813.24
  4. Step 4: Simplify right side
    269,321.51x = 54,565,286,665.38
  5. Step 5: Solve for x
    x = 54,565,286,665.38/269,321.51
  6. Step 6: Final answer
    x = 202,602.78

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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.