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Finding the Fourth Proportional to 137,525.85, 189,826.01 and 89,786.34

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Solution

The fourth proportional to 137,525.85, 189,826.01 and 89,786.34 is: 123,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,525.85 : 189,826.01 = 89,786.34 : x
  2. Step 2: Convert to fraction form
    137,525.85/189,826.01 = 89,786.34/x
  3. Step 3: Cross multiply
    137,525.85x = 189,826.01 × 89,786.34
  4. Step 4: Simplify right side
    137,525.85x = 17,043,782,225.77
  5. Step 5: Solve for x
    x = 17,043,782,225.77/137,525.85
  6. Step 6: Final answer
    x = 123,931.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.