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Finding the Fourth Proportional to 302,675.32, 417,688.14 and 166,706.56

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Solution

The fourth proportional to 302,675.32, 417,688.14 and 166,706.56 is: 230,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,675.32 : 417,688.14 = 166,706.56 : x
  2. Step 2: Convert to fraction form
    302,675.32/417,688.14 = 166,706.56/x
  3. Step 3: Cross multiply
    302,675.32x = 417,688.14 × 166,706.56
  4. Step 4: Simplify right side
    302,675.32x = 69,631,352,972.20
  5. Step 5: Solve for x
    x = 69,631,352,972.20/302,675.32
  6. Step 6: Final answer
    x = 230,052.96

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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.