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Finding the Fourth Proportional to 184,224.84, 276,337.32 and 65,889.10

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Solution

The fourth proportional to 184,224.84, 276,337.32 and 65,889.10 is: 98,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,224.84 : 276,337.32 = 65,889.10 : x
  2. Step 2: Convert to fraction form
    184,224.84/276,337.32 = 65,889.10/x
  3. Step 3: Cross multiply
    184,224.84x = 276,337.32 × 65,889.10
  4. Step 4: Simplify right side
    184,224.84x = 18,207,617,311.21
  5. Step 5: Solve for x
    x = 18,207,617,311.21/184,224.84
  6. Step 6: Final answer
    x = 98,833.67

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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.