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Finding the Fourth Proportional to 141,714.58, 195,557.14 and 78,052.38

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Solution

The fourth proportional to 141,714.58, 195,557.14 and 78,052.38 is: 107,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,714.58 : 195,557.14 = 78,052.38 : x
  2. Step 2: Convert to fraction form
    141,714.58/195,557.14 = 78,052.38/x
  3. Step 3: Cross multiply
    141,714.58x = 195,557.14 × 78,052.38
  4. Step 4: Simplify right side
    141,714.58x = 15,263,699,786.74
  5. Step 5: Solve for x
    x = 15,263,699,786.74/141,714.58
  6. Step 6: Final answer
    x = 107,707.34

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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.