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Finding the Fourth Proportional to 184,375.20, 276,368.40 and 105,319.20

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Solution

The fourth proportional to 184,375.20, 276,368.40 and 105,319.20 is: 157,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,375.20 : 276,368.40 = 105,319.20 : x
  2. Step 2: Convert to fraction form
    184,375.20/276,368.40 = 105,319.20/x
  3. Step 3: Cross multiply
    184,375.20x = 276,368.40 × 105,319.20
  4. Step 4: Simplify right side
    184,375.20x = 29,106,898,793.28
  5. Step 5: Solve for x
    x = 29,106,898,793.28/184,375.20
  6. Step 6: Final answer
    x = 157,867.75

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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.