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Finding the Fourth Proportional to 269,347.13, 371,689.46 and 146,836.98

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Solution

The fourth proportional to 269,347.13, 371,689.46 and 146,836.98 is: 202,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,347.13 : 371,689.46 = 146,836.98 : x
  2. Step 2: Convert to fraction form
    269,347.13/371,689.46 = 146,836.98/x
  3. Step 3: Cross multiply
    269,347.13x = 371,689.46 × 146,836.98
  4. Step 4: Simplify right side
    269,347.13x = 54,577,757,070.05
  5. Step 5: Solve for x
    x = 54,577,757,070.05/269,347.13
  6. Step 6: Final answer
    x = 202,629.81

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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.