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Finding the Fourth Proportional to 184,190, 276,224.25 and 59,501.84

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Solution

The fourth proportional to 184,190, 276,224.25 and 59,501.84 is: 89,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,190 : 276,224.25 = 59,501.84 : x
  2. Step 2: Convert to fraction form
    184,190/276,224.25 = 59,501.84/x
  3. Step 3: Cross multiply
    184,190x = 276,224.25 × 59,501.84
  4. Step 4: Simplify right side
    184,190x = 16,435,851,127.62
  5. Step 5: Solve for x
    x = 16,435,851,127.62/184,190
  6. Step 6: Final answer
    x = 89,233.13

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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.