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Finding the Fourth Proportional to 137,406.70, 189,526.39 and 96,657.22

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Solution

The fourth proportional to 137,406.70, 189,526.39 and 96,657.22 is: 133,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,406.70 : 189,526.39 = 96,657.22 : x
  2. Step 2: Convert to fraction form
    137,406.70/189,526.39 = 96,657.22/x
  3. Step 3: Cross multiply
    137,406.70x = 189,526.39 × 96,657.22
  4. Step 4: Simplify right side
    137,406.70x = 18,319,093,974.04
  5. Step 5: Solve for x
    x = 18,319,093,974.04/137,406.70
  6. Step 6: Final answer
    x = 133,320.24

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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.