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Finding the Fourth Proportional to 201,323.07, 301,763.07 and 82,929.83

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Solution

The fourth proportional to 201,323.07, 301,763.07 and 82,929.83 is: 124,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,323.07 : 301,763.07 = 82,929.83 : x
  2. Step 2: Convert to fraction form
    201,323.07/301,763.07 = 82,929.83/x
  3. Step 3: Cross multiply
    201,323.07x = 301,763.07 × 82,929.83
  4. Step 4: Simplify right side
    201,323.07x = 25,025,158,586.56
  5. Step 5: Solve for x
    x = 25,025,158,586.56/201,323.07
  6. Step 6: Final answer
    x = 124,303.48

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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.