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Finding the Fourth Proportional to 213,819.30, 295,063.32 and 118,330.02

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Solution

The fourth proportional to 213,819.30, 295,063.32 and 118,330.02 is: 163,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,819.30 : 295,063.32 = 118,330.02 : x
  2. Step 2: Convert to fraction form
    213,819.30/295,063.32 = 118,330.02/x
  3. Step 3: Cross multiply
    213,819.30x = 295,063.32 × 118,330.02
  4. Step 4: Simplify right side
    213,819.30x = 34,914,848,556.87
  5. Step 5: Solve for x
    x = 34,914,848,556.87/213,819.30
  6. Step 6: Final answer
    x = 163,291.38

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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.