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Finding the Fourth Proportional to 237,858.44, 328,241.94 and 137,254.28

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Solution

The fourth proportional to 237,858.44, 328,241.94 and 137,254.28 is: 189,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,858.44 : 328,241.94 = 137,254.28 : x
  2. Step 2: Convert to fraction form
    237,858.44/328,241.94 = 137,254.28/x
  3. Step 3: Cross multiply
    237,858.44x = 328,241.94 × 137,254.28
  4. Step 4: Simplify right side
    237,858.44x = 45,052,611,140.50
  5. Step 5: Solve for x
    x = 45,052,611,140.50/237,858.44
  6. Step 6: Final answer
    x = 189,409.34

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Why These Related Problems?

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