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Finding the Fourth Proportional to 184,895.96, 277,517.28 and 96,212.30

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Solution

The fourth proportional to 184,895.96, 277,517.28 and 96,212.30 is: 144,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,895.96 : 277,517.28 = 96,212.30 : x
  2. Step 2: Convert to fraction form
    184,895.96/277,517.28 = 96,212.30/x
  3. Step 3: Cross multiply
    184,895.96x = 277,517.28 × 96,212.30
  4. Step 4: Simplify right side
    184,895.96x = 26,700,575,798.54
  5. Step 5: Solve for x
    x = 26,700,575,798.54/184,895.96
  6. Step 6: Final answer
    x = 144,408.65

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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.