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Finding the Fourth Proportional to 302,945.73, 418,068.03 and 166,985

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Solution

The fourth proportional to 302,945.73, 418,068.03 and 166,985 is: 230,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,945.73 : 418,068.03 = 166,985 : x
  2. Step 2: Convert to fraction form
    302,945.73/418,068.03 = 166,985/x
  3. Step 3: Cross multiply
    302,945.73x = 418,068.03 × 166,985
  4. Step 4: Simplify right side
    302,945.73x = 69,811,089,989.55
  5. Step 5: Solve for x
    x = 69,811,089,989.55/302,945.73
  6. Step 6: Final answer
    x = 230,440.91

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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.