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Finding the Fourth Proportional to 105,817.34, 146,032.12 and 58,072.38

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Solution

The fourth proportional to 105,817.34, 146,032.12 and 58,072.38 is: 80,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,817.34 : 146,032.12 = 58,072.38 : x
  2. Step 2: Convert to fraction form
    105,817.34/146,032.12 = 58,072.38/x
  3. Step 3: Cross multiply
    105,817.34x = 146,032.12 × 58,072.38
  4. Step 4: Simplify right side
    105,817.34x = 8,480,432,764.85
  5. Step 5: Solve for x
    x = 8,480,432,764.85/105,817.34
  6. Step 6: Final answer
    x = 80,142.18

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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.