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Finding the Fourth Proportional to 109,729.90, 164,594.85 and 101,089.90

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Solution

The fourth proportional to 109,729.90, 164,594.85 and 101,089.90 is: 151,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,729.90 : 164,594.85 = 101,089.90 : x
  2. Step 2: Convert to fraction form
    109,729.90/164,594.85 = 101,089.90/x
  3. Step 3: Cross multiply
    109,729.90x = 164,594.85 × 101,089.90
  4. Step 4: Simplify right side
    109,729.90x = 16,638,876,927.02
  5. Step 5: Solve for x
    x = 16,638,876,927.02/109,729.90
  6. Step 6: Final answer
    x = 151,634.85

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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.