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Finding the Fourth Proportional to 341,206.98, 511,889.23 and 101,315.54

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Solution

The fourth proportional to 341,206.98, 511,889.23 and 101,315.54 is: 151,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,206.98 : 511,889.23 = 101,315.54 : x
  2. Step 2: Convert to fraction form
    341,206.98/511,889.23 = 101,315.54/x
  3. Step 3: Cross multiply
    341,206.98x = 511,889.23 × 101,315.54
  4. Step 4: Simplify right side
    341,206.98x = 51,862,333,757.63
  5. Step 5: Solve for x
    x = 51,862,333,757.63/341,206.98
  6. Step 6: Final answer
    x = 151,996.70

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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.