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Finding the Fourth Proportional to 202,652.88, 279,515.93 and 142,237

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Solution

The fourth proportional to 202,652.88, 279,515.93 and 142,237 is: 196,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,652.88 : 279,515.93 = 142,237 : x
  2. Step 2: Convert to fraction form
    202,652.88/279,515.93 = 142,237/x
  3. Step 3: Cross multiply
    202,652.88x = 279,515.93 × 142,237
  4. Step 4: Simplify right side
    202,652.88x = 39,757,507,335.41
  5. Step 5: Solve for x
    x = 39,757,507,335.41/202,652.88
  6. Step 6: Final answer
    x = 196,185.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.