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Finding the Fourth Proportional to 269,259.98, 371,563.61 and 148,400.90

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Solution

The fourth proportional to 269,259.98, 371,563.61 and 148,400.90 is: 204,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,259.98 : 371,563.61 = 148,400.90 : x
  2. Step 2: Convert to fraction form
    269,259.98/371,563.61 = 148,400.90/x
  3. Step 3: Cross multiply
    269,259.98x = 371,563.61 × 148,400.90
  4. Step 4: Simplify right side
    269,259.98x = 55,140,371,531.43
  5. Step 5: Solve for x
    x = 55,140,371,531.43/269,259.98
  6. Step 6: Final answer
    x = 204,784.88

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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.