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Finding the Fourth Proportional to 214,083.38, 295,435.07 and 118,596.26

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Solution

The fourth proportional to 214,083.38, 295,435.07 and 118,596.26 is: 163,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,083.38 : 295,435.07 = 118,596.26 : x
  2. Step 2: Convert to fraction form
    214,083.38/295,435.07 = 118,596.26/x
  3. Step 3: Cross multiply
    214,083.38x = 295,435.07 × 118,596.26
  4. Step 4: Simplify right side
    214,083.38x = 35,037,492,304.68
  5. Step 5: Solve for x
    x = 35,037,492,304.68/214,083.38
  6. Step 6: Final answer
    x = 163,662.84

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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.