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Finding the Fourth Proportional to 262,853.17, 362,858.46 and 153,942.36

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Solution

The fourth proportional to 262,853.17, 362,858.46 and 153,942.36 is: 212,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,853.17 : 362,858.46 = 153,942.36 : x
  2. Step 2: Convert to fraction form
    262,853.17/362,858.46 = 153,942.36/x
  3. Step 3: Cross multiply
    262,853.17x = 362,858.46 × 153,942.36
  4. Step 4: Simplify right side
    262,853.17x = 55,859,289,909.04
  5. Step 5: Solve for x
    x = 55,859,289,909.04/262,853.17
  6. Step 6: Final answer
    x = 212,511.38

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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.