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Finding the Fourth Proportional to 201,326.36, 302,222.82 and 108,014.36

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Solution

The fourth proportional to 201,326.36, 302,222.82 and 108,014.36 is: 162,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,326.36 : 302,222.82 = 108,014.36 : x
  2. Step 2: Convert to fraction form
    201,326.36/302,222.82 = 108,014.36/x
  3. Step 3: Cross multiply
    201,326.36x = 302,222.82 × 108,014.36
  4. Step 4: Simplify right side
    201,326.36x = 32,644,404,479.70
  5. Step 5: Solve for x
    x = 32,644,404,479.70/201,326.36
  6. Step 6: Final answer
    x = 162,146.70

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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.