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Finding the Fourth Proportional to 400,967.26, 601,506.17 and 134,748.40

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Solution

The fourth proportional to 400,967.26, 601,506.17 and 134,748.40 is: 202,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,967.26 : 601,506.17 = 134,748.40 : x
  2. Step 2: Convert to fraction form
    400,967.26/601,506.17 = 134,748.40/x
  3. Step 3: Cross multiply
    400,967.26x = 601,506.17 × 134,748.40
  4. Step 4: Simplify right side
    400,967.26x = 81,051,993,997.63
  5. Step 5: Solve for x
    x = 81,051,993,997.63/400,967.26
  6. Step 6: Final answer
    x = 202,141.18

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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.