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Finding the Fourth Proportional to 229,564.25, 316,739.83 and 134,016.04

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Solution

The fourth proportional to 229,564.25, 316,739.83 and 134,016.04 is: 184,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,564.25 : 316,739.83 = 134,016.04 : x
  2. Step 2: Convert to fraction form
    229,564.25/316,739.83 = 134,016.04/x
  3. Step 3: Cross multiply
    229,564.25x = 316,739.83 × 134,016.04
  4. Step 4: Simplify right side
    229,564.25x = 42,448,217,726.87
  5. Step 5: Solve for x
    x = 42,448,217,726.87/229,564.25
  6. Step 6: Final answer
    x = 184,907.79

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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.