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Finding the Fourth Proportional to 214,226.80, 295,635.36 and 118,735.36

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Solution

The fourth proportional to 214,226.80, 295,635.36 and 118,735.36 is: 163,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,226.80 : 295,635.36 = 118,735.36 : x
  2. Step 2: Convert to fraction form
    214,226.80/295,635.36 = 118,735.36/x
  3. Step 3: Cross multiply
    214,226.80x = 295,635.36 × 118,735.36
  4. Step 4: Simplify right side
    214,226.80x = 35,102,370,898.33
  5. Step 5: Solve for x
    x = 35,102,370,898.33/214,226.80
  6. Step 6: Final answer
    x = 163,856.11

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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.