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Finding the Fourth Proportional to 302,047.25, 416,826.71 and 166,089.97

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Solution

The fourth proportional to 302,047.25, 416,826.71 and 166,089.97 is: 229,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,047.25 : 416,826.71 = 166,089.97 : x
  2. Step 2: Convert to fraction form
    302,047.25/416,826.71 = 166,089.97/x
  3. Step 3: Cross multiply
    302,047.25x = 416,826.71 × 166,089.97
  4. Step 4: Simplify right side
    302,047.25x = 69,230,734,900.19
  5. Step 5: Solve for x
    x = 69,230,734,900.19/302,047.25
  6. Step 6: Final answer
    x = 229,204.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.