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Finding the Fourth Proportional to 172,195.66, 258,304.43 and 45,833.84

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Solution

The fourth proportional to 172,195.66, 258,304.43 and 45,833.84 is: 68,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,195.66 : 258,304.43 = 45,833.84 : x
  2. Step 2: Convert to fraction form
    172,195.66/258,304.43 = 45,833.84/x
  3. Step 3: Cross multiply
    172,195.66x = 258,304.43 × 45,833.84
  4. Step 4: Simplify right side
    172,195.66x = 11,839,083,915.91
  5. Step 5: Solve for x
    x = 11,839,083,915.91/172,195.66
  6. Step 6: Final answer
    x = 68,753.67

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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.