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Finding the Fourth Proportional to 189,056.80, 283,623.60 and 64,410.40

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Solution

The fourth proportional to 189,056.80, 283,623.60 and 64,410.40 is: 96,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,056.80 : 283,623.60 = 64,410.40 : x
  2. Step 2: Convert to fraction form
    189,056.80/283,623.60 = 64,410.40/x
  3. Step 3: Cross multiply
    189,056.80x = 283,623.60 × 64,410.40
  4. Step 4: Simplify right side
    189,056.80x = 18,268,309,525.44
  5. Step 5: Solve for x
    x = 18,268,309,525.44/189,056.80
  6. Step 6: Final answer
    x = 96,628.68

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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.