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Finding the Fourth Proportional to 267,141.10, 400,075.56 and 154,584.10

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Solution

The fourth proportional to 267,141.10, 400,075.56 and 154,584.10 is: 231,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,141.10 : 400,075.56 = 154,584.10 : x
  2. Step 2: Convert to fraction form
    267,141.10/400,075.56 = 154,584.10/x
  3. Step 3: Cross multiply
    267,141.10x = 400,075.56 × 154,584.10
  4. Step 4: Simplify right side
    267,141.10x = 61,845,320,374.60
  5. Step 5: Solve for x
    x = 61,845,320,374.60/267,141.10
  6. Step 6: Final answer
    x = 231,508.07

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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.