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Finding the Fourth Proportional to 214,009.64, 295,326.54 and 123,365.96

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Solution

The fourth proportional to 214,009.64, 295,326.54 and 123,365.96 is: 170,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,009.64 : 295,326.54 = 123,365.96 : x
  2. Step 2: Convert to fraction form
    214,009.64/295,326.54 = 123,365.96/x
  3. Step 3: Cross multiply
    214,009.64x = 295,326.54 × 123,365.96
  4. Step 4: Simplify right side
    214,009.64x = 36,433,242,120.58
  5. Step 5: Solve for x
    x = 36,433,242,120.58/214,009.64
  6. Step 6: Final answer
    x = 170,241.13

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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.