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Finding the Fourth Proportional to 184,022.28, 276,091.74 and 65,691

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Solution

The fourth proportional to 184,022.28, 276,091.74 and 65,691 is: 98,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,022.28 : 276,091.74 = 65,691 : x
  2. Step 2: Convert to fraction form
    184,022.28/276,091.74 = 65,691/x
  3. Step 3: Cross multiply
    184,022.28x = 276,091.74 × 65,691
  4. Step 4: Simplify right side
    184,022.28x = 18,136,742,492.34
  5. Step 5: Solve for x
    x = 18,136,742,492.34/184,022.28
  6. Step 6: Final answer
    x = 98,557.32

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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.