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Finding the Fourth Proportional to 401,381.98, 601,651.52 and 135,050.04

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Solution

The fourth proportional to 401,381.98, 601,651.52 and 135,050.04 is: 202,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,381.98 : 601,651.52 = 135,050.04 : x
  2. Step 2: Convert to fraction form
    401,381.98/601,651.52 = 135,050.04/x
  3. Step 3: Cross multiply
    401,381.98x = 601,651.52 × 135,050.04
  4. Step 4: Simplify right side
    401,381.98x = 81,253,061,842.06
  5. Step 5: Solve for x
    x = 81,253,061,842.06/401,381.98
  6. Step 6: Final answer
    x = 202,433.26

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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.