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Finding the Fourth Proportional to 183,783.44, 275,783.49 and 77,186.10

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Solution

The fourth proportional to 183,783.44, 275,783.49 and 77,186.10 is: 115,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,783.44 : 275,783.49 = 77,186.10 : x
  2. Step 2: Convert to fraction form
    183,783.44/275,783.49 = 77,186.10/x
  3. Step 3: Cross multiply
    183,783.44x = 275,783.49 × 77,186.10
  4. Step 4: Simplify right side
    183,783.44x = 21,286,652,037.49
  5. Step 5: Solve for x
    x = 21,286,652,037.49/183,783.44
  6. Step 6: Final answer
    x = 115,824.65

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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.