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Finding the Fourth Proportional to 201,422.99, 301,862.31 and 76,695.95

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Solution

The fourth proportional to 201,422.99, 301,862.31 and 76,695.95 is: 114,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,422.99 : 301,862.31 = 76,695.95 : x
  2. Step 2: Convert to fraction form
    201,422.99/301,862.31 = 76,695.95/x
  3. Step 3: Cross multiply
    201,422.99x = 301,862.31 × 76,695.95
  4. Step 4: Simplify right side
    201,422.99x = 23,151,615,125.33
  5. Step 5: Solve for x
    x = 23,151,615,125.33/201,422.99
  6. Step 6: Final answer
    x = 114,940.28

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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.