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Finding the Fourth Proportional to 296,763.64, 445,165.90 and 119,270.84

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Solution

The fourth proportional to 296,763.64, 445,165.90 and 119,270.84 is: 178,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,763.64 : 445,165.90 = 119,270.84 : x
  2. Step 2: Convert to fraction form
    296,763.64/445,165.90 = 119,270.84/x
  3. Step 3: Cross multiply
    296,763.64x = 445,165.90 × 119,270.84
  4. Step 4: Simplify right side
    296,763.64x = 53,095,310,832.36
  5. Step 5: Solve for x
    x = 53,095,310,832.36/296,763.64
  6. Step 6: Final answer
    x = 178,914.47

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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.