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Finding the Fourth Proportional to 213,274.60, 320,022.30 and 87,007.40

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Solution

The fourth proportional to 213,274.60, 320,022.30 and 87,007.40 is: 130,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,274.60 : 320,022.30 = 87,007.40 : x
  2. Step 2: Convert to fraction form
    213,274.60/320,022.30 = 87,007.40/x
  3. Step 3: Cross multiply
    213,274.60x = 320,022.30 × 87,007.40
  4. Step 4: Simplify right side
    213,274.60x = 27,844,308,265.02
  5. Step 5: Solve for x
    x = 27,844,308,265.02/213,274.60
  6. Step 6: Final answer
    x = 130,556.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.