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Finding the Fourth Proportional to 294,705.14, 442,077.14 and 107,847.86

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Solution

The fourth proportional to 294,705.14, 442,077.14 and 107,847.86 is: 161,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,705.14 : 442,077.14 = 107,847.86 : x
  2. Step 2: Convert to fraction form
    294,705.14/442,077.14 = 107,847.86/x
  3. Step 3: Cross multiply
    294,705.14x = 442,077.14 × 107,847.86
  4. Step 4: Simplify right side
    294,705.14x = 47,677,071,563.15
  5. Step 5: Solve for x
    x = 47,677,071,563.15/294,705.14
  6. Step 6: Final answer
    x = 161,778.90

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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.