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Finding the Fourth Proportional to 244,894.96, 367,316.52 and 78,670

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Solution

The fourth proportional to 244,894.96, 367,316.52 and 78,670 is: 117,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,894.96 : 367,316.52 = 78,670 : x
  2. Step 2: Convert to fraction form
    244,894.96/367,316.52 = 78,670/x
  3. Step 3: Cross multiply
    244,894.96x = 367,316.52 × 78,670
  4. Step 4: Simplify right side
    244,894.96x = 28,896,790,628.40
  5. Step 5: Solve for x
    x = 28,896,790,628.40/244,894.96
  6. Step 6: Final answer
    x = 117,996.67

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Why These Related Problems?

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