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Finding the Fourth Proportional to 184,967.46, 277,453.11 and 65,027.76

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Solution

The fourth proportional to 184,967.46, 277,453.11 and 65,027.76 is: 97,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,967.46 : 277,453.11 = 65,027.76 : x
  2. Step 2: Convert to fraction form
    184,967.46/277,453.11 = 65,027.76/x
  3. Step 3: Cross multiply
    184,967.46x = 277,453.11 × 65,027.76
  4. Step 4: Simplify right side
    184,967.46x = 18,042,154,248.33
  5. Step 5: Solve for x
    x = 18,042,154,248.33/184,967.46
  6. Step 6: Final answer
    x = 97,542.32

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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.