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Finding the Fourth Proportional to 262,324, 362,007.12 and 143,092

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Solution

The fourth proportional to 262,324, 362,007.12 and 143,092 is: 197,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,324 : 362,007.12 = 143,092 : x
  2. Step 2: Convert to fraction form
    262,324/362,007.12 = 143,092/x
  3. Step 3: Cross multiply
    262,324x = 362,007.12 × 143,092
  4. Step 4: Simplify right side
    262,324x = 51,800,322,815.04
  5. Step 5: Solve for x
    x = 51,800,322,815.04/262,324
  6. Step 6: Final answer
    x = 197,466.96

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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.