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Finding the Fourth Proportional to 91,569.14, 137,977.65 and 75,293.75

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Solution

The fourth proportional to 91,569.14, 137,977.65 and 75,293.75 is: 113,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,569.14 : 137,977.65 = 75,293.75 : x
  2. Step 2: Convert to fraction form
    91,569.14/137,977.65 = 75,293.75/x
  3. Step 3: Cross multiply
    91,569.14x = 137,977.65 × 75,293.75
  4. Step 4: Simplify right side
    91,569.14x = 10,388,854,684.69
  5. Step 5: Solve for x
    x = 10,388,854,684.69/91,569.14
  6. Step 6: Final answer
    x = 113,453.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.