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Finding the Fourth Proportional to 101,966.48, 140,736.22 and 56,660

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Solution

The fourth proportional to 101,966.48, 140,736.22 and 56,660 is: 78,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,966.48 : 140,736.22 = 56,660 : x
  2. Step 2: Convert to fraction form
    101,966.48/140,736.22 = 56,660/x
  3. Step 3: Cross multiply
    101,966.48x = 140,736.22 × 56,660
  4. Step 4: Simplify right side
    101,966.48x = 7,974,114,225.20
  5. Step 5: Solve for x
    x = 7,974,114,225.20/101,966.48
  6. Step 6: Final answer
    x = 78,203.29

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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.