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Finding the Fourth Proportional to 184,874.16, 277,289.82 and 51,765.06

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Solution

The fourth proportional to 184,874.16, 277,289.82 and 51,765.06 is: 77,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,874.16 : 277,289.82 = 51,765.06 : x
  2. Step 2: Convert to fraction form
    184,874.16/277,289.82 = 51,765.06/x
  3. Step 3: Cross multiply
    184,874.16x = 277,289.82 × 51,765.06
  4. Step 4: Simplify right side
    184,874.16x = 14,353,924,169.69
  5. Step 5: Solve for x
    x = 14,353,924,169.69/184,874.16
  6. Step 6: Final answer
    x = 77,641.59

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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.