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Finding the Fourth Proportional to 206,954.61, 310,274.46 and 107,051.19

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Solution

The fourth proportional to 206,954.61, 310,274.46 and 107,051.19 is: 160,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,954.61 : 310,274.46 = 107,051.19 : x
  2. Step 2: Convert to fraction form
    206,954.61/310,274.46 = 107,051.19/x
  3. Step 3: Cross multiply
    206,954.61x = 310,274.46 × 107,051.19
  4. Step 4: Simplify right side
    206,954.61x = 33,215,250,169.61
  5. Step 5: Solve for x
    x = 33,215,250,169.61/206,954.61
  6. Step 6: Final answer
    x = 160,495.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.