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Finding the Fourth Proportional to 294,239.30, 441,013.35 and 136,133.78

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Solution

The fourth proportional to 294,239.30, 441,013.35 and 136,133.78 is: 204,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,239.30 : 441,013.35 = 136,133.78 : x
  2. Step 2: Convert to fraction form
    294,239.30/441,013.35 = 136,133.78/x
  3. Step 3: Cross multiply
    294,239.30x = 441,013.35 × 136,133.78
  4. Step 4: Simplify right side
    294,239.30x = 60,036,814,365.96
  5. Step 5: Solve for x
    x = 60,036,814,365.96/294,239.30
  6. Step 6: Final answer
    x = 204,040.77

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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.