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Finding the Fourth Proportional to 302,056.48, 416,847 and 166,083.40

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Solution

The fourth proportional to 302,056.48, 416,847 and 166,083.40 is: 229,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,056.48 : 416,847 = 166,083.40 : x
  2. Step 2: Convert to fraction form
    302,056.48/416,847 = 166,083.40/x
  3. Step 3: Cross multiply
    302,056.48x = 416,847 × 166,083.40
  4. Step 4: Simplify right side
    302,056.48x = 69,231,367,039.80
  5. Step 5: Solve for x
    x = 69,231,367,039.80/302,056.48
  6. Step 6: Final answer
    x = 229,200.07

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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.