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Finding the Fourth Proportional to 102,044.12, 140,843.72 and 56,738

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Solution

The fourth proportional to 102,044.12, 140,843.72 and 56,738 is: 78,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.12 : 140,843.72 = 56,738 : x
  2. Step 2: Convert to fraction form
    102,044.12/140,843.72 = 56,738/x
  3. Step 3: Cross multiply
    102,044.12x = 140,843.72 × 56,738
  4. Step 4: Simplify right side
    102,044.12x = 7,991,190,985.36
  5. Step 5: Solve for x
    x = 7,991,190,985.36/102,044.12
  6. Step 6: Final answer
    x = 78,311.14

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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.