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Finding the Fourth Proportional to 180,509.02, 270,806.73 and 55,850.02

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Solution

The fourth proportional to 180,509.02, 270,806.73 and 55,850.02 is: 83,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,509.02 : 270,806.73 = 55,850.02 : x
  2. Step 2: Convert to fraction form
    180,509.02/270,806.73 = 55,850.02/x
  3. Step 3: Cross multiply
    180,509.02x = 270,806.73 × 55,850.02
  4. Step 4: Simplify right side
    180,509.02x = 15,124,561,286.63
  5. Step 5: Solve for x
    x = 15,124,561,286.63/180,509.02
  6. Step 6: Final answer
    x = 83,788.40

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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.