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Finding the Fourth Proportional to 276,099.60, 414,368.10 and 107,700.60

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Solution

The fourth proportional to 276,099.60, 414,368.10 and 107,700.60 is: 161,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,099.60 : 414,368.10 = 107,700.60 : x
  2. Step 2: Convert to fraction form
    276,099.60/414,368.10 = 107,700.60/x
  3. Step 3: Cross multiply
    276,099.60x = 414,368.10 × 107,700.60
  4. Step 4: Simplify right side
    276,099.60x = 44,627,692,990.86
  5. Step 5: Solve for x
    x = 44,627,692,990.86/276,099.60
  6. Step 6: Final answer
    x = 161,636.21

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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.