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Finding the Fourth Proportional to 184,657.30, 276,980.48 and 76,575.76

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Solution

The fourth proportional to 184,657.30, 276,980.48 and 76,575.76 is: 114,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,657.30 : 276,980.48 = 76,575.76 : x
  2. Step 2: Convert to fraction form
    184,657.30/276,980.48 = 76,575.76/x
  3. Step 3: Cross multiply
    184,657.30x = 276,980.48 × 76,575.76
  4. Step 4: Simplify right side
    184,657.30x = 21,209,990,761.16
  5. Step 5: Solve for x
    x = 21,209,990,761.16/184,657.30
  6. Step 6: Final answer
    x = 114,861.37

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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.