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Finding the Fourth Proportional to 302,321.15, 417,202.70 and 166,363.86

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Solution

The fourth proportional to 302,321.15, 417,202.70 and 166,363.86 is: 229,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,321.15 : 417,202.70 = 166,363.86 : x
  2. Step 2: Convert to fraction form
    302,321.15/417,202.70 = 166,363.86/x
  3. Step 3: Cross multiply
    302,321.15x = 417,202.70 × 166,363.86
  4. Step 4: Simplify right side
    302,321.15x = 69,407,450,742.60
  5. Step 5: Solve for x
    x = 69,407,450,742.60/302,321.15
  6. Step 6: Final answer
    x = 229,581.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.