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Finding the Fourth Proportional to 200,693.70, 301,069.71 and 107,148.42

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Solution

The fourth proportional to 200,693.70, 301,069.71 and 107,148.42 is: 160,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,693.70 : 301,069.71 = 107,148.42 : x
  2. Step 2: Convert to fraction form
    200,693.70/301,069.71 = 107,148.42/x
  3. Step 3: Cross multiply
    200,693.70x = 301,069.71 × 107,148.42
  4. Step 4: Simplify right side
    200,693.70x = 32,259,143,736.36
  5. Step 5: Solve for x
    x = 32,259,143,736.36/200,693.70
  6. Step 6: Final answer
    x = 160,738.20

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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.