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Finding the Fourth Proportional to 105,141.94, 145,099.11 and 57,398.38

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Solution

The fourth proportional to 105,141.94, 145,099.11 and 57,398.38 is: 79,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,141.94 : 145,099.11 = 57,398.38 : x
  2. Step 2: Convert to fraction form
    105,141.94/145,099.11 = 57,398.38/x
  3. Step 3: Cross multiply
    105,141.94x = 145,099.11 × 57,398.38
  4. Step 4: Simplify right side
    105,141.94x = 8,328,453,853.44
  5. Step 5: Solve for x
    x = 8,328,453,853.44/105,141.94
  6. Step 6: Final answer
    x = 79,211.53

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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.