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Finding the Fourth Proportional to 184,604.86, 254,802.11 and 120,234.50

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Solution

The fourth proportional to 184,604.86, 254,802.11 and 120,234.50 is: 165,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,604.86 : 254,802.11 = 120,234.50 : x
  2. Step 2: Convert to fraction form
    184,604.86/254,802.11 = 120,234.50/x
  3. Step 3: Cross multiply
    184,604.86x = 254,802.11 × 120,234.50
  4. Step 4: Simplify right side
    184,604.86x = 30,636,005,136.46
  5. Step 5: Solve for x
    x = 30,636,005,136.46/184,604.86
  6. Step 6: Final answer
    x = 165,954.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.