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Finding the Fourth Proportional to 137,069.34, 189,154.46 and 75,815.52

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Solution

The fourth proportional to 137,069.34, 189,154.46 and 75,815.52 is: 104,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,069.34 : 189,154.46 = 75,815.52 : x
  2. Step 2: Convert to fraction form
    137,069.34/189,154.46 = 75,815.52/x
  3. Step 3: Cross multiply
    137,069.34x = 189,154.46 × 75,815.52
  4. Step 4: Simplify right side
    137,069.34x = 14,340,843,745.22
  5. Step 5: Solve for x
    x = 14,340,843,745.22/137,069.34
  6. Step 6: Final answer
    x = 104,624.74

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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.