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Finding the Fourth Proportional to 241,395.40, 362,438.70 and 136,419.40

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Solution

The fourth proportional to 241,395.40, 362,438.70 and 136,419.40 is: 204,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,395.40 : 362,438.70 = 136,419.40 : x
  2. Step 2: Convert to fraction form
    241,395.40/362,438.70 = 136,419.40/x
  3. Step 3: Cross multiply
    241,395.40x = 362,438.70 × 136,419.40
  4. Step 4: Simplify right side
    241,395.40x = 49,443,669,990.78
  5. Step 5: Solve for x
    x = 49,443,669,990.78/241,395.40
  6. Step 6: Final answer
    x = 204,824.41

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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.