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Finding the Fourth Proportional to 116,433.50, 160,678.23 and 63,441.50

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Solution

The fourth proportional to 116,433.50, 160,678.23 and 63,441.50 is: 87,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,433.50 : 160,678.23 = 63,441.50 : x
  2. Step 2: Convert to fraction form
    116,433.50/160,678.23 = 63,441.50/x
  3. Step 3: Cross multiply
    116,433.50x = 160,678.23 × 63,441.50
  4. Step 4: Simplify right side
    116,433.50x = 10,193,667,928.55
  5. Step 5: Solve for x
    x = 10,193,667,928.55/116,433.50
  6. Step 6: Final answer
    x = 87,549.27

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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.