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Finding the Fourth Proportional to 214,081.88, 295,152.95 and 184,188.33

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Solution

The fourth proportional to 214,081.88, 295,152.95 and 184,188.33 is: 253,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,081.88 : 295,152.95 = 184,188.33 : x
  2. Step 2: Convert to fraction form
    214,081.88/295,152.95 = 184,188.33/x
  3. Step 3: Cross multiply
    214,081.88x = 295,152.95 × 184,188.33
  4. Step 4: Simplify right side
    214,081.88x = 54,363,728,034.13
  5. Step 5: Solve for x
    x = 54,363,728,034.13/214,081.88
  6. Step 6: Final answer
    x = 253,938.96

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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.