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Finding the Fourth Proportional to 269,862.64, 372,408.84 and 149,002.94

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Solution

The fourth proportional to 269,862.64, 372,408.84 and 149,002.94 is: 205,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,862.64 : 372,408.84 = 149,002.94 : x
  2. Step 2: Convert to fraction form
    269,862.64/372,408.84 = 149,002.94/x
  3. Step 3: Cross multiply
    269,862.64x = 372,408.84 × 149,002.94
  4. Step 4: Simplify right side
    269,862.64x = 55,490,012,973.01
  5. Step 5: Solve for x
    x = 55,490,012,973.01/269,862.64
  6. Step 6: Final answer
    x = 205,623.18

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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.