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Finding the Fourth Proportional to 302,035.82, 416,810.99 and 166,078.54

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Solution

The fourth proportional to 302,035.82, 416,810.99 and 166,078.54 is: 229,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,035.82 : 416,810.99 = 166,078.54 : x
  2. Step 2: Convert to fraction form
    302,035.82/416,810.99 = 166,078.54/x
  3. Step 3: Cross multiply
    302,035.82x = 416,810.99 × 166,078.54
  4. Step 4: Simplify right side
    302,035.82x = 69,223,360,558.13
  5. Step 5: Solve for x
    x = 69,223,360,558.13/302,035.82
  6. Step 6: Final answer
    x = 229,189.24

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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.