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Finding the Fourth Proportional to 302,780.32, 417,834.88 and 166,811.12

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Solution

The fourth proportional to 302,780.32, 417,834.88 and 166,811.12 is: 230,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,780.32 : 417,834.88 = 166,811.12 : x
  2. Step 2: Convert to fraction form
    302,780.32/417,834.88 = 166,811.12/x
  3. Step 3: Cross multiply
    302,780.32x = 417,834.88 × 166,811.12
  4. Step 4: Simplify right side
    302,780.32x = 69,699,504,307.87
  5. Step 5: Solve for x
    x = 69,699,504,307.87/302,780.32
  6. Step 6: Final answer
    x = 230,198.26

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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.