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Finding the Fourth Proportional to 214,295.94, 295,735.59 and 118,796.94

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Solution

The fourth proportional to 214,295.94, 295,735.59 and 118,796.94 is: 163,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,295.94 : 295,735.59 = 118,796.94 : x
  2. Step 2: Convert to fraction form
    214,295.94/295,735.59 = 118,796.94/x
  3. Step 3: Cross multiply
    214,295.94x = 295,735.59 × 118,796.94
  4. Step 4: Simplify right side
    214,295.94x = 35,132,483,141.09
  5. Step 5: Solve for x
    x = 35,132,483,141.09/214,295.94
  6. Step 6: Final answer
    x = 163,943.76

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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.