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Finding the Fourth Proportional to 262,769.40, 362,622.12 and 149,592

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Solution

The fourth proportional to 262,769.40, 362,622.12 and 149,592 is: 206,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,769.40 : 362,622.12 = 149,592 : x
  2. Step 2: Convert to fraction form
    262,769.40/362,622.12 = 149,592/x
  3. Step 3: Cross multiply
    262,769.40x = 362,622.12 × 149,592
  4. Step 4: Simplify right side
    262,769.40x = 54,245,368,175.04
  5. Step 5: Solve for x
    x = 54,245,368,175.04/262,769.40
  6. Step 6: Final answer
    x = 206,437.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.