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Finding the Fourth Proportional to 296,762.16, 445,163.76 and 119,269.32

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Solution

The fourth proportional to 296,762.16, 445,163.76 and 119,269.32 is: 178,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,762.16 : 445,163.76 = 119,269.32 : x
  2. Step 2: Convert to fraction form
    296,762.16/445,163.76 = 119,269.32/x
  3. Step 3: Cross multiply
    296,762.16x = 445,163.76 × 119,269.32
  4. Step 4: Simplify right side
    296,762.16x = 53,094,378,943.84
  5. Step 5: Solve for x
    x = 53,094,378,943.84/296,762.16
  6. Step 6: Final answer
    x = 178,912.23

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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.