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Finding the Fourth Proportional to 189,149.80, 283,724.70 and 155,324.20

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Solution

The fourth proportional to 189,149.80, 283,724.70 and 155,324.20 is: 232,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,149.80 : 283,724.70 = 155,324.20 : x
  2. Step 2: Convert to fraction form
    189,149.80/283,724.70 = 155,324.20/x
  3. Step 3: Cross multiply
    189,149.80x = 283,724.70 × 155,324.20
  4. Step 4: Simplify right side
    189,149.80x = 44,069,312,047.74
  5. Step 5: Solve for x
    x = 44,069,312,047.74/189,149.80
  6. Step 6: Final answer
    x = 232,986.30

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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.