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Finding the Fourth Proportional to 137,408.70, 189,529.15 and 96,659.22

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Solution

The fourth proportional to 137,408.70, 189,529.15 and 96,659.22 is: 133,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,408.70 : 189,529.15 = 96,659.22 : x
  2. Step 2: Convert to fraction form
    137,408.70/189,529.15 = 96,659.22/x
  3. Step 3: Cross multiply
    137,408.70x = 189,529.15 × 96,659.22
  4. Step 4: Simplify right side
    137,408.70x = 18,319,739,806.26
  5. Step 5: Solve for x
    x = 18,319,739,806.26/137,408.70
  6. Step 6: Final answer
    x = 133,323.00

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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.