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Finding the Fourth Proportional to 341,077.20, 511,324.08 and 130,866

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Solution

The fourth proportional to 341,077.20, 511,324.08 and 130,866 is: 196,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,077.20 : 511,324.08 = 130,866 : x
  2. Step 2: Convert to fraction form
    341,077.20/511,324.08 = 130,866/x
  3. Step 3: Cross multiply
    341,077.20x = 511,324.08 × 130,866
  4. Step 4: Simplify right side
    341,077.20x = 66,914,937,053.28
  5. Step 5: Solve for x
    x = 66,914,937,053.28/341,077.20
  6. Step 6: Final answer
    x = 196,187.07

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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.