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Finding the Fourth Proportional to 297,002.30, 445,114.65 and 119,363.90

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Solution

The fourth proportional to 297,002.30, 445,114.65 and 119,363.90 is: 178,889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002.30 : 445,114.65 = 119,363.90 : x
  2. Step 2: Convert to fraction form
    297,002.30/445,114.65 = 119,363.90/x
  3. Step 3: Cross multiply
    297,002.30x = 445,114.65 × 119,363.90
  4. Step 4: Simplify right side
    297,002.30x = 53,130,620,571.14
  5. Step 5: Solve for x
    x = 53,130,620,571.14/297,002.30
  6. Step 6: Final answer
    x = 178,889.59

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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.