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Finding the Fourth Proportional to 232,885.33, 349,315.74 and 75,113.80

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Solution

The fourth proportional to 232,885.33, 349,315.74 and 75,113.80 is: 112,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,885.33 : 349,315.74 = 75,113.80 : x
  2. Step 2: Convert to fraction form
    232,885.33/349,315.74 = 75,113.80/x
  3. Step 3: Cross multiply
    232,885.33x = 349,315.74 × 75,113.80
  4. Step 4: Simplify right side
    232,885.33x = 26,238,431,757.92
  5. Step 5: Solve for x
    x = 26,238,431,757.92/232,885.33
  6. Step 6: Final answer
    x = 112,666.74

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