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Finding the Fourth Proportional to 237,218.58, 327,329.32 and 141,705

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Solution

The fourth proportional to 237,218.58, 327,329.32 and 141,705 is: 195,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,218.58 : 327,329.32 = 141,705 : x
  2. Step 2: Convert to fraction form
    237,218.58/327,329.32 = 141,705/x
  3. Step 3: Cross multiply
    237,218.58x = 327,329.32 × 141,705
  4. Step 4: Simplify right side
    237,218.58x = 46,384,201,290.60
  5. Step 5: Solve for x
    x = 46,384,201,290.60/237,218.58
  6. Step 6: Final answer
    x = 195,533.59

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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.