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Finding the Fourth Proportional to 214,207.74, 295,601.62 and 118,712.38

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Solution

The fourth proportional to 214,207.74, 295,601.62 and 118,712.38 is: 163,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,207.74 : 295,601.62 = 118,712.38 : x
  2. Step 2: Convert to fraction form
    214,207.74/295,601.62 = 118,712.38/x
  3. Step 3: Cross multiply
    214,207.74x = 295,601.62 × 118,712.38
  4. Step 4: Simplify right side
    214,207.74x = 35,091,571,842.06
  5. Step 5: Solve for x
    x = 35,091,571,842.06/214,207.74
  6. Step 6: Final answer
    x = 163,820.28

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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.