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Finding the Fourth Proportional to 142,573.54, 196,738.12 and 85,201.44

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Solution

The fourth proportional to 142,573.54, 196,738.12 and 85,201.44 is: 117,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,573.54 : 196,738.12 = 85,201.44 : x
  2. Step 2: Convert to fraction form
    142,573.54/196,738.12 = 85,201.44/x
  3. Step 3: Cross multiply
    142,573.54x = 196,738.12 × 85,201.44
  4. Step 4: Simplify right side
    142,573.54x = 16,762,371,126.89
  5. Step 5: Solve for x
    x = 16,762,371,126.89/142,573.54
  6. Step 6: Final answer
    x = 117,570.00

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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.