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Finding the Fourth Proportional to 214,274.62, 295,696.65 and 123,629.50

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Solution

The fourth proportional to 214,274.62, 295,696.65 and 123,629.50 is: 170,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,274.62 : 295,696.65 = 123,629.50 : x
  2. Step 2: Convert to fraction form
    214,274.62/295,696.65 = 123,629.50/x
  3. Step 3: Cross multiply
    214,274.62x = 295,696.65 × 123,629.50
  4. Step 4: Simplify right side
    214,274.62x = 36,556,828,991.18
  5. Step 5: Solve for x
    x = 36,556,828,991.18/214,274.62
  6. Step 6: Final answer
    x = 170,607.37

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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.