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Finding the Fourth Proportional to 183,930.40, 275,749.80 and 100,824.40

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Solution

The fourth proportional to 183,930.40, 275,749.80 and 100,824.40 is: 151,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,930.40 : 275,749.80 = 100,824.40 : x
  2. Step 2: Convert to fraction form
    183,930.40/275,749.80 = 100,824.40/x
  3. Step 3: Cross multiply
    183,930.40x = 275,749.80 × 100,824.40
  4. Step 4: Simplify right side
    183,930.40x = 27,802,308,135.12
  5. Step 5: Solve for x
    x = 27,802,308,135.12/183,930.40
  6. Step 6: Final answer
    x = 151,156.68

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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.