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Finding the Fourth Proportional to 214,188.36, 295,577.58 and 117,393

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Solution

The fourth proportional to 214,188.36, 295,577.58 and 117,393 is: 162,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,188.36 : 295,577.58 = 117,393 : x
  2. Step 2: Convert to fraction form
    214,188.36/295,577.58 = 117,393/x
  3. Step 3: Cross multiply
    214,188.36x = 295,577.58 × 117,393
  4. Step 4: Simplify right side
    214,188.36x = 34,698,738,848.94
  5. Step 5: Solve for x
    x = 34,698,738,848.94/214,188.36
  6. Step 6: Final answer
    x = 162,001.05

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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.