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Finding the Fourth Proportional to 213,348.24, 320,223.24 and 108,242.64

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Solution

The fourth proportional to 213,348.24, 320,223.24 and 108,242.64 is: 162,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,348.24 : 320,223.24 = 108,242.64 : x
  2. Step 2: Convert to fraction form
    213,348.24/320,223.24 = 108,242.64/x
  3. Step 3: Cross multiply
    213,348.24x = 320,223.24 × 108,242.64
  4. Step 4: Simplify right side
    213,348.24x = 34,661,808,886.95
  5. Step 5: Solve for x
    x = 34,661,808,886.95/213,348.24
  6. Step 6: Final answer
    x = 162,465.88

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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.