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Finding the Fourth Proportional to 109,710.90, 164,566.35 and 101,157.30

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Solution

The fourth proportional to 109,710.90, 164,566.35 and 101,157.30 is: 151,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,710.90 : 164,566.35 = 101,157.30 : x
  2. Step 2: Convert to fraction form
    109,710.90/164,566.35 = 101,157.30/x
  3. Step 3: Cross multiply
    109,710.90x = 164,566.35 × 101,157.30
  4. Step 4: Simplify right side
    109,710.90x = 16,647,087,636.86
  5. Step 5: Solve for x
    x = 16,647,087,636.86/109,710.90
  6. Step 6: Final answer
    x = 151,735.95

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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.