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Finding the Fourth Proportional to 100,464.20, 150,477.60 and 100,464.20

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Solution

The fourth proportional to 100,464.20, 150,477.60 and 100,464.20 is: 150,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,464.20 : 150,477.60 = 100,464.20 : x
  2. Step 2: Convert to fraction form
    100,464.20/150,477.60 = 100,464.20/x
  3. Step 3: Cross multiply
    100,464.20x = 150,477.60 × 100,464.20
  4. Step 4: Simplify right side
    100,464.20x = 15,117,611,701.92
  5. Step 5: Solve for x
    x = 15,117,611,701.92/100,464.20
  6. Step 6: Final answer
    x = 150,477.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.