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Finding the Fourth Proportional to 137,064.49, 189,150.18 and 75,809.65

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Solution

The fourth proportional to 137,064.49, 189,150.18 and 75,809.65 is: 104,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,064.49 : 189,150.18 = 75,809.65 : x
  2. Step 2: Convert to fraction form
    137,064.49/189,150.18 = 75,809.65/x
  3. Step 3: Cross multiply
    137,064.49x = 189,150.18 × 75,809.65
  4. Step 4: Simplify right side
    137,064.49x = 14,339,408,943.24
  5. Step 5: Solve for x
    x = 14,339,408,943.24/137,064.49
  6. Step 6: Final answer
    x = 104,617.97

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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.