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Finding the Fourth Proportional to 302,322.15, 417,204.07 and 166,364.86

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Solution

The fourth proportional to 302,322.15, 417,204.07 and 166,364.86 is: 229,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,322.15 : 417,204.07 = 166,364.86 : x
  2. Step 2: Convert to fraction form
    302,322.15/417,204.07 = 166,364.86/x
  3. Step 3: Cross multiply
    302,322.15x = 417,204.07 × 166,364.86
  4. Step 4: Simplify right side
    302,322.15x = 69,408,096,696.98
  5. Step 5: Solve for x
    x = 69,408,096,696.98/302,322.15
  6. Step 6: Final answer
    x = 229,583.23

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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.