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Finding the Fourth Proportional to 302,048.58, 416,828.61 and 166,091.31

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Solution

The fourth proportional to 302,048.58, 416,828.61 and 166,091.31 is: 229,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048.58 : 416,828.61 = 166,091.31 : x
  2. Step 2: Convert to fraction form
    302,048.58/416,828.61 = 166,091.31/x
  3. Step 3: Cross multiply
    302,048.58x = 416,828.61 × 166,091.31
  4. Step 4: Simplify right side
    302,048.58x = 69,231,609,880.38
  5. Step 5: Solve for x
    x = 69,231,609,880.38/302,048.58
  6. Step 6: Final answer
    x = 229,206.87

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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.