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Finding the Fourth Proportional to 302,053.86, 416,845.02 and 166,098.12

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Solution

The fourth proportional to 302,053.86, 416,845.02 and 166,098.12 is: 229,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,053.86 : 416,845.02 = 166,098.12 : x
  2. Step 2: Convert to fraction form
    302,053.86/416,845.02 = 166,098.12/x
  3. Step 3: Cross multiply
    302,053.86x = 416,845.02 × 166,098.12
  4. Step 4: Simplify right side
    302,053.86x = 69,237,174,153.36
  5. Step 5: Solve for x
    x = 69,237,174,153.36/302,053.86
  6. Step 6: Final answer
    x = 229,221.29

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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.