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Finding the Fourth Proportional to 101,735, 140,360.70 and 61,433.46

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Solution

The fourth proportional to 101,735, 140,360.70 and 61,433.46 is: 84,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,735 : 140,360.70 = 61,433.46 : x
  2. Step 2: Convert to fraction form
    101,735/140,360.70 = 61,433.46/x
  3. Step 3: Cross multiply
    101,735x = 140,360.70 × 61,433.46
  4. Step 4: Simplify right side
    101,735x = 8,622,843,449.02
  5. Step 5: Solve for x
    x = 8,622,843,449.02/101,735
  6. Step 6: Final answer
    x = 84,757.89

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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.