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Finding the Fourth Proportional to 214,238.24, 295,648 and 118,744

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Solution

The fourth proportional to 214,238.24, 295,648 and 118,744 is: 163,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,238.24 : 295,648 = 118,744 : x
  2. Step 2: Convert to fraction form
    214,238.24/295,648 = 118,744/x
  3. Step 3: Cross multiply
    214,238.24x = 295,648 × 118,744
  4. Step 4: Simplify right side
    214,238.24x = 35,106,426,112
  5. Step 5: Solve for x
    x = 35,106,426,112/214,238.24
  6. Step 6: Final answer
    x = 163,866.29

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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.