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Finding the Fourth Proportional to 183,760.54, 275,271.74 and 83,783.20

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Solution

The fourth proportional to 183,760.54, 275,271.74 and 83,783.20 is: 125,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,760.54 : 275,271.74 = 83,783.20 : x
  2. Step 2: Convert to fraction form
    183,760.54/275,271.74 = 83,783.20/x
  3. Step 3: Cross multiply
    183,760.54x = 275,271.74 × 83,783.20
  4. Step 4: Simplify right side
    183,760.54x = 23,063,146,969.99
  5. Step 5: Solve for x
    x = 23,063,146,969.99/183,760.54
  6. Step 6: Final answer
    x = 125,506.53

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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.