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Finding the Fourth Proportional to 213,795.78, 295,033.74 and 118,296.78

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Solution

The fourth proportional to 213,795.78, 295,033.74 and 118,296.78 is: 163,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,795.78 : 295,033.74 = 118,296.78 : x
  2. Step 2: Convert to fraction form
    213,795.78/295,033.74 = 118,296.78/x
  3. Step 3: Cross multiply
    213,795.78x = 295,033.74 × 118,296.78
  4. Step 4: Simplify right side
    213,795.78x = 34,901,541,433.36
  5. Step 5: Solve for x
    x = 34,901,541,433.36/213,795.78
  6. Step 6: Final answer
    x = 163,247.10

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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.