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Finding the Fourth Proportional to 262,382.73, 362,023.92 and 147,639

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Solution

The fourth proportional to 262,382.73, 362,023.92 and 147,639 is: 203,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,382.73 : 362,023.92 = 147,639 : x
  2. Step 2: Convert to fraction form
    262,382.73/362,023.92 = 147,639/x
  3. Step 3: Cross multiply
    262,382.73x = 362,023.92 × 147,639
  4. Step 4: Simplify right side
    262,382.73x = 53,448,849,524.88
  5. Step 5: Solve for x
    x = 53,448,849,524.88/262,382.73
  6. Step 6: Final answer
    x = 203,705.67

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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.