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Finding the Fourth Proportional to 114,316.69, 171,438.68 and 106,853.65

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Solution

The fourth proportional to 114,316.69, 171,438.68 and 106,853.65 is: 160,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,316.69 : 171,438.68 = 106,853.65 : x
  2. Step 2: Convert to fraction form
    114,316.69/171,438.68 = 106,853.65/x
  3. Step 3: Cross multiply
    114,316.69x = 171,438.68 × 106,853.65
  4. Step 4: Simplify right side
    114,316.69x = 18,318,848,709.18
  5. Step 5: Solve for x
    x = 18,318,848,709.18/114,316.69
  6. Step 6: Final answer
    x = 160,246.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.