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Finding the Fourth Proportional to 309,548.88, 427,268.70 and 202,135.68

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Solution

The fourth proportional to 309,548.88, 427,268.70 and 202,135.68 is: 279,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,548.88 : 427,268.70 = 202,135.68 : x
  2. Step 2: Convert to fraction form
    309,548.88/427,268.70 = 202,135.68/x
  3. Step 3: Cross multiply
    309,548.88x = 427,268.70 × 202,135.68
  4. Step 4: Simplify right side
    309,548.88x = 86,366,249,217.22
  5. Step 5: Solve for x
    x = 86,366,249,217.22/309,548.88
  6. Step 6: Final answer
    x = 279,006.82

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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.