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Finding the Fourth Proportional to 201,327.40, 301,799.10 and 74,933.80

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Solution

The fourth proportional to 201,327.40, 301,799.10 and 74,933.80 is: 112,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,327.40 : 301,799.10 = 74,933.80 : x
  2. Step 2: Convert to fraction form
    201,327.40/301,799.10 = 74,933.80/x
  3. Step 3: Cross multiply
    201,327.40x = 301,799.10 × 74,933.80
  4. Step 4: Simplify right side
    201,327.40x = 22,614,953,399.58
  5. Step 5: Solve for x
    x = 22,614,953,399.58/201,327.40
  6. Step 6: Final answer
    x = 112,329.24

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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.