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Finding the Fourth Proportional to 101,714.97, 140,374.97 and 56,407.16

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Solution

The fourth proportional to 101,714.97, 140,374.97 and 56,407.16 is: 77,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.97 : 140,374.97 = 56,407.16 : x
  2. Step 2: Convert to fraction form
    101,714.97/140,374.97 = 56,407.16/x
  3. Step 3: Cross multiply
    101,714.97x = 140,374.97 × 56,407.16
  4. Step 4: Simplify right side
    101,714.97x = 7,918,152,408.87
  5. Step 5: Solve for x
    x = 7,918,152,408.87/101,714.97
  6. Step 6: Final answer
    x = 77,846.48

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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.