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Finding the Fourth Proportional to 100,702.68, 150,725.46 and 74,041.60

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Solution

The fourth proportional to 100,702.68, 150,725.46 and 74,041.60 is: 110,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.68 : 150,725.46 = 74,041.60 : x
  2. Step 2: Convert to fraction form
    100,702.68/150,725.46 = 74,041.60/x
  3. Step 3: Cross multiply
    100,702.68x = 150,725.46 × 74,041.60
  4. Step 4: Simplify right side
    100,702.68x = 11,159,954,219.14
  5. Step 5: Solve for x
    x = 11,159,954,219.14/100,702.68
  6. Step 6: Final answer
    x = 110,820.83

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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.