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Finding the Fourth Proportional to 282,148.94, 389,370.30 and 154,836.38

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Solution

The fourth proportional to 282,148.94, 389,370.30 and 154,836.38 is: 213,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,148.94 : 389,370.30 = 154,836.38 : x
  2. Step 2: Convert to fraction form
    282,148.94/389,370.30 = 154,836.38/x
  3. Step 3: Cross multiply
    282,148.94x = 389,370.30 × 154,836.38
  4. Step 4: Simplify right side
    282,148.94x = 60,288,687,731.51
  5. Step 5: Solve for x
    x = 60,288,687,731.51/282,148.94
  6. Step 6: Final answer
    x = 213,676.82

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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.