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Finding the Fourth Proportional to 164,852.20, 246,986.70 and 141,524.20

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Solution

The fourth proportional to 164,852.20, 246,986.70 and 141,524.20 is: 212,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,852.20 : 246,986.70 = 141,524.20 : x
  2. Step 2: Convert to fraction form
    164,852.20/246,986.70 = 141,524.20/x
  3. Step 3: Cross multiply
    164,852.20x = 246,986.70 × 141,524.20
  4. Step 4: Simplify right side
    164,852.20x = 34,954,595,128.14
  5. Step 5: Solve for x
    x = 34,954,595,128.14/164,852.20
  6. Step 6: Final answer
    x = 212,035.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.