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Finding the Fourth Proportional to 233,079.84, 349,288.56 and 106,408.80

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Solution

The fourth proportional to 233,079.84, 349,288.56 and 106,408.80 is: 159,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,079.84 : 349,288.56 = 106,408.80 : x
  2. Step 2: Convert to fraction form
    233,079.84/349,288.56 = 106,408.80/x
  3. Step 3: Cross multiply
    233,079.84x = 349,288.56 × 106,408.80
  4. Step 4: Simplify right side
    233,079.84x = 37,167,376,523.33
  5. Step 5: Solve for x
    x = 37,167,376,523.33/233,079.84
  6. Step 6: Final answer
    x = 159,462.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.