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Finding the Fourth Proportional to 341,072.74, 511,537.70 and 101,188.91

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Solution

The fourth proportional to 341,072.74, 511,537.70 and 101,188.91 is: 151,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,072.74 : 511,537.70 = 101,188.91 : x
  2. Step 2: Convert to fraction form
    341,072.74/511,537.70 = 101,188.91/x
  3. Step 3: Cross multiply
    341,072.74x = 511,537.70 × 101,188.91
  4. Step 4: Simplify right side
    341,072.74x = 51,761,943,249.54
  5. Step 5: Solve for x
    x = 51,761,943,249.54/341,072.74
  6. Step 6: Final answer
    x = 151,762.18

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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.