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Finding the Fourth Proportional to 299,705.84, 413,594.37 and 163,742.06

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Solution

The fourth proportional to 299,705.84, 413,594.37 and 163,742.06 is: 225,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,705.84 : 413,594.37 = 163,742.06 : x
  2. Step 2: Convert to fraction form
    299,705.84/413,594.37 = 163,742.06/x
  3. Step 3: Cross multiply
    299,705.84x = 413,594.37 × 163,742.06
  4. Step 4: Simplify right side
    299,705.84x = 67,722,792,080.23
  5. Step 5: Solve for x
    x = 67,722,792,080.23/299,705.84
  6. Step 6: Final answer
    x = 225,964.21

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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.