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Finding the Fourth Proportional to 109,706.40, 164,559.60 and 101,152.80

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Solution

The fourth proportional to 109,706.40, 164,559.60 and 101,152.80 is: 151,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706.40 : 164,559.60 = 101,152.80 : x
  2. Step 2: Convert to fraction form
    109,706.40/164,559.60 = 101,152.80/x
  3. Step 3: Cross multiply
    109,706.40x = 164,559.60 × 101,152.80
  4. Step 4: Simplify right side
    109,706.40x = 16,645,664,306.88
  5. Step 5: Solve for x
    x = 16,645,664,306.88/109,706.40
  6. Step 6: Final answer
    x = 151,729.20

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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.