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Finding the Fourth Proportional to 101,558.64, 140,164.11 and 61,295.16

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Solution

The fourth proportional to 101,558.64, 140,164.11 and 61,295.16 is: 84,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,558.64 : 140,164.11 = 61,295.16 : x
  2. Step 2: Convert to fraction form
    101,558.64/140,164.11 = 61,295.16/x
  3. Step 3: Cross multiply
    101,558.64x = 140,164.11 × 61,295.16
  4. Step 4: Simplify right side
    101,558.64x = 8,591,381,548.71
  5. Step 5: Solve for x
    x = 8,591,381,548.71/101,558.64
  6. Step 6: Final answer
    x = 84,595.28

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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.