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Finding the Fourth Proportional to 190,714.68, 263,272.86 and 130,383

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Solution

The fourth proportional to 190,714.68, 263,272.86 and 130,383 is: 179,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,714.68 : 263,272.86 = 130,383 : x
  2. Step 2: Convert to fraction form
    190,714.68/263,272.86 = 130,383/x
  3. Step 3: Cross multiply
    190,714.68x = 263,272.86 × 130,383
  4. Step 4: Simplify right side
    190,714.68x = 34,326,305,305.38
  5. Step 5: Solve for x
    x = 34,326,305,305.38/190,714.68
  6. Step 6: Final answer
    x = 179,987.75

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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.