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Finding the Fourth Proportional to 361,075.86, 541,096.61 and 202,971.96

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Solution

The fourth proportional to 361,075.86, 541,096.61 and 202,971.96 is: 304,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,075.86 : 541,096.61 = 202,971.96 : x
  2. Step 2: Convert to fraction form
    361,075.86/541,096.61 = 202,971.96/x
  3. Step 3: Cross multiply
    361,075.86x = 541,096.61 × 202,971.96
  4. Step 4: Simplify right side
    361,075.86x = 109,827,438,466.20
  5. Step 5: Solve for x
    x = 109,827,438,466.20/361,075.86
  6. Step 6: Final answer
    x = 304,167.21

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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.