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Finding the Fourth Proportional to 189,148.80, 283,723.20 and 155,323.20

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Solution

The fourth proportional to 189,148.80, 283,723.20 and 155,323.20 is: 232,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,148.80 : 283,723.20 = 155,323.20 : x
  2. Step 2: Convert to fraction form
    189,148.80/283,723.20 = 155,323.20/x
  3. Step 3: Cross multiply
    189,148.80x = 283,723.20 × 155,323.20
  4. Step 4: Simplify right side
    189,148.80x = 44,068,795,338.24
  5. Step 5: Solve for x
    x = 44,068,795,338.24/189,148.80
  6. Step 6: Final answer
    x = 232,984.80

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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.