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Finding the Fourth Proportional to 341,203.74, 511,871.22 and 130,825.28

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Solution

The fourth proportional to 341,203.74, 511,871.22 and 130,825.28 is: 196,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,203.74 : 511,871.22 = 130,825.28 : x
  2. Step 2: Convert to fraction form
    341,203.74/511,871.22 = 130,825.28/x
  3. Step 3: Cross multiply
    341,203.74x = 511,871.22 × 130,825.28
  4. Step 4: Simplify right side
    341,203.74x = 66,965,693,121.09
  5. Step 5: Solve for x
    x = 66,965,693,121.09/341,203.74
  6. Step 6: Final answer
    x = 196,263.07

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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.