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Finding the Fourth Proportional to 299,802.94, 413,733.48 and 163,842.64

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Solution

The fourth proportional to 299,802.94, 413,733.48 and 163,842.64 is: 226,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,802.94 : 413,733.48 = 163,842.64 : x
  2. Step 2: Convert to fraction form
    299,802.94/413,733.48 = 163,842.64/x
  3. Step 3: Cross multiply
    299,802.94x = 413,733.48 × 163,842.64
  4. Step 4: Simplify right side
    299,802.94x = 67,787,185,619.59
  5. Step 5: Solve for x
    x = 67,787,185,619.59/299,802.94
  6. Step 6: Final answer
    x = 226,105.81

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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.