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Finding the Fourth Proportional to 289,583.20, 434,029.20 and 121,103.20

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Solution

The fourth proportional to 289,583.20, 434,029.20 and 121,103.20 is: 181,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,583.20 : 434,029.20 = 121,103.20 : x
  2. Step 2: Convert to fraction form
    289,583.20/434,029.20 = 121,103.20/x
  3. Step 3: Cross multiply
    289,583.20x = 434,029.20 × 121,103.20
  4. Step 4: Simplify right side
    289,583.20x = 52,562,325,013.44
  5. Step 5: Solve for x
    x = 52,562,325,013.44/289,583.20
  6. Step 6: Final answer
    x = 181,510.27

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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.