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Finding the Fourth Proportional to 142,180.40, 196,208.69 and 81,762.70

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Solution

The fourth proportional to 142,180.40, 196,208.69 and 81,762.70 is: 112,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,180.40 : 196,208.69 = 81,762.70 : x
  2. Step 2: Convert to fraction form
    142,180.40/196,208.69 = 81,762.70/x
  3. Step 3: Cross multiply
    142,180.40x = 196,208.69 × 81,762.70
  4. Step 4: Simplify right side
    142,180.40x = 16,042,552,257.86
  5. Step 5: Solve for x
    x = 16,042,552,257.86/142,180.40
  6. Step 6: Final answer
    x = 112,832.38

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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.