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Finding the Fourth Proportional to 137,608.35, 189,901.09 and 76,355.65

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Solution

The fourth proportional to 137,608.35, 189,901.09 and 76,355.65 is: 105,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.35 : 189,901.09 = 76,355.65 : x
  2. Step 2: Convert to fraction form
    137,608.35/189,901.09 = 76,355.65/x
  3. Step 3: Cross multiply
    137,608.35x = 189,901.09 × 76,355.65
  4. Step 4: Simplify right side
    137,608.35x = 14,500,019,831.37
  5. Step 5: Solve for x
    x = 14,500,019,831.37/137,608.35
  6. Step 6: Final answer
    x = 105,371.66

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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.