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Finding the Fourth Proportional to 242,851.95, 364,057.40 and 84,994.29

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Solution

The fourth proportional to 242,851.95, 364,057.40 and 84,994.29 is: 127,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,851.95 : 364,057.40 = 84,994.29 : x
  2. Step 2: Convert to fraction form
    242,851.95/364,057.40 = 84,994.29/x
  3. Step 3: Cross multiply
    242,851.95x = 364,057.40 × 84,994.29
  4. Step 4: Simplify right side
    242,851.95x = 30,942,800,232.25
  5. Step 5: Solve for x
    x = 30,942,800,232.25/242,851.95
  6. Step 6: Final answer
    x = 127,414.25

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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.