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Finding the Fourth Proportional to 119,346.82, 179,020.22 and 56,827.78

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Solution

The fourth proportional to 119,346.82, 179,020.22 and 56,827.78 is: 85,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,346.82 : 179,020.22 = 56,827.78 : x
  2. Step 2: Convert to fraction form
    119,346.82/179,020.22 = 56,827.78/x
  3. Step 3: Cross multiply
    119,346.82x = 179,020.22 × 56,827.78
  4. Step 4: Simplify right side
    119,346.82x = 10,173,321,677.71
  5. Step 5: Solve for x
    x = 10,173,321,677.71/119,346.82
  6. Step 6: Final answer
    x = 85,241.67

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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.