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Finding the Fourth Proportional to 206,852.54, 310,094.12 and 88,462.94

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Solution

The fourth proportional to 206,852.54, 310,094.12 and 88,462.94 is: 132,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,852.54 : 310,094.12 = 88,462.94 : x
  2. Step 2: Convert to fraction form
    206,852.54/310,094.12 = 88,462.94/x
  3. Step 3: Cross multiply
    206,852.54x = 310,094.12 × 88,462.94
  4. Step 4: Simplify right side
    206,852.54x = 27,431,836,202.60
  5. Step 5: Solve for x
    x = 27,431,836,202.60/206,852.54
  6. Step 6: Final answer
    x = 132,615.42

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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.