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Finding the Fourth Proportional to 101,946.35, 140,682.05 and 56,627.22

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Solution

The fourth proportional to 101,946.35, 140,682.05 and 56,627.22 is: 78,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,946.35 : 140,682.05 = 56,627.22 : x
  2. Step 2: Convert to fraction form
    101,946.35/140,682.05 = 56,627.22/x
  3. Step 3: Cross multiply
    101,946.35x = 140,682.05 × 56,627.22
  4. Step 4: Simplify right side
    101,946.35x = 7,966,433,060.84
  5. Step 5: Solve for x
    x = 7,966,433,060.84/101,946.35
  6. Step 6: Final answer
    x = 78,143.39

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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.