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Finding the Fourth Proportional to 302,207.35, 417,029.72 and 166,219.35

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Solution

The fourth proportional to 302,207.35, 417,029.72 and 166,219.35 is: 229,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,207.35 : 417,029.72 = 166,219.35 : x
  2. Step 2: Convert to fraction form
    302,207.35/417,029.72 = 166,219.35/x
  3. Step 3: Cross multiply
    302,207.35x = 417,029.72 × 166,219.35
  4. Step 4: Simplify right side
    302,207.35x = 69,318,407,413.28
  5. Step 5: Solve for x
    x = 69,318,407,413.28/302,207.35
  6. Step 6: Final answer
    x = 229,373.67

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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.