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Finding the Fourth Proportional to 284,172.58, 426,268.02 and 149,202.46

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Solution

The fourth proportional to 284,172.58, 426,268.02 and 149,202.46 is: 223,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,172.58 : 426,268.02 = 149,202.46 : x
  2. Step 2: Convert to fraction form
    284,172.58/426,268.02 = 149,202.46/x
  3. Step 3: Cross multiply
    284,172.58x = 426,268.02 × 149,202.46
  4. Step 4: Simplify right side
    284,172.58x = 63,600,237,203.33
  5. Step 5: Solve for x
    x = 63,600,237,203.33/284,172.58
  6. Step 6: Final answer
    x = 223,808.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.