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Finding the Fourth Proportional to 101,897.90, 152,846.73 and 66,829.35

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Solution

The fourth proportional to 101,897.90, 152,846.73 and 66,829.35 is: 100,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,897.90 : 152,846.73 = 66,829.35 : x
  2. Step 2: Convert to fraction form
    101,897.90/152,846.73 = 66,829.35/x
  3. Step 3: Cross multiply
    101,897.90x = 152,846.73 × 66,829.35
  4. Step 4: Simplify right side
    101,897.90x = 10,214,647,615.53
  5. Step 5: Solve for x
    x = 10,214,647,615.53/101,897.90
  6. Step 6: Final answer
    x = 100,243.95

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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.