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Finding the Fourth Proportional to 183,886.80, 275,824.70 and 50,775.18

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Solution

The fourth proportional to 183,886.80, 275,824.70 and 50,775.18 is: 76,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,886.80 : 275,824.70 = 50,775.18 : x
  2. Step 2: Convert to fraction form
    183,886.80/275,824.70 = 50,775.18/x
  3. Step 3: Cross multiply
    183,886.80x = 275,824.70 × 50,775.18
  4. Step 4: Simplify right side
    183,886.80x = 14,005,048,790.95
  5. Step 5: Solve for x
    x = 14,005,048,790.95/183,886.80
  6. Step 6: Final answer
    x = 76,161.25

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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.