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Finding the Fourth Proportional to 289,039.80, 433,559.70 and 122,806.20

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Solution

The fourth proportional to 289,039.80, 433,559.70 and 122,806.20 is: 184,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,039.80 : 433,559.70 = 122,806.20 : x
  2. Step 2: Convert to fraction form
    289,039.80/433,559.70 = 122,806.20/x
  3. Step 3: Cross multiply
    289,039.80x = 433,559.70 × 122,806.20
  4. Step 4: Simplify right side
    289,039.80x = 53,243,819,230.14
  5. Step 5: Solve for x
    x = 53,243,819,230.14/289,039.80
  6. Step 6: Final answer
    x = 184,209.30

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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.