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Finding the Fourth Proportional to 120,957.90, 166,942.53 and 70,001.66

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Solution

The fourth proportional to 120,957.90, 166,942.53 and 70,001.66 is: 96,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,957.90 : 166,942.53 = 70,001.66 : x
  2. Step 2: Convert to fraction form
    120,957.90/166,942.53 = 70,001.66/x
  3. Step 3: Cross multiply
    120,957.90x = 166,942.53 × 70,001.66
  4. Step 4: Simplify right side
    120,957.90x = 11,686,253,039.88
  5. Step 5: Solve for x
    x = 11,686,253,039.88/120,957.90
  6. Step 6: Final answer
    x = 96,614.22

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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.