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Finding the Fourth Proportional to 184,097.20, 275,951.40 and 105,041.20

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Solution

The fourth proportional to 184,097.20, 275,951.40 and 105,041.20 is: 157,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,097.20 : 275,951.40 = 105,041.20 : x
  2. Step 2: Convert to fraction form
    184,097.20/275,951.40 = 105,041.20/x
  3. Step 3: Cross multiply
    184,097.20x = 275,951.40 × 105,041.20
  4. Step 4: Simplify right side
    184,097.20x = 28,986,266,197.68
  5. Step 5: Solve for x
    x = 28,986,266,197.68/184,097.20
  6. Step 6: Final answer
    x = 157,450.88

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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.