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Finding the Fourth Proportional to 262,696.94, 362,473.62 and 147,951

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Solution

The fourth proportional to 262,696.94, 362,473.62 and 147,951 is: 204,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,696.94 : 362,473.62 = 147,951 : x
  2. Step 2: Convert to fraction form
    262,696.94/362,473.62 = 147,951/x
  3. Step 3: Cross multiply
    262,696.94x = 362,473.62 × 147,951
  4. Step 4: Simplify right side
    262,696.94x = 53,628,334,552.62
  5. Step 5: Solve for x
    x = 53,628,334,552.62/262,696.94
  6. Step 6: Final answer
    x = 204,145.26

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Why These Related Problems?

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