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Finding the Fourth Proportional to 214,253.56, 295,684.14 and 118,764.28

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Solution

The fourth proportional to 214,253.56, 295,684.14 and 118,764.28 is: 163,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,253.56 : 295,684.14 = 118,764.28 : x
  2. Step 2: Convert to fraction form
    214,253.56/295,684.14 = 118,764.28/x
  3. Step 3: Cross multiply
    214,253.56x = 295,684.14 × 118,764.28
  4. Step 4: Simplify right side
    214,253.56x = 35,116,713,994.52
  5. Step 5: Solve for x
    x = 35,116,713,994.52/214,253.56
  6. Step 6: Final answer
    x = 163,902.59

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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.