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Finding the Fourth Proportional to 123,466.24, 170,353.92 and 73,156.48

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Solution

The fourth proportional to 123,466.24, 170,353.92 and 73,156.48 is: 100,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,466.24 : 170,353.92 = 73,156.48 : x
  2. Step 2: Convert to fraction form
    123,466.24/170,353.92 = 73,156.48/x
  3. Step 3: Cross multiply
    123,466.24x = 170,353.92 × 73,156.48
  4. Step 4: Simplify right side
    123,466.24x = 12,462,493,141.40
  5. Step 5: Solve for x
    x = 12,462,493,141.40/123,466.24
  6. Step 6: Final answer
    x = 100,938.47

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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.