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Finding the Fourth Proportional to 189,280.78, 283,980.30 and 56,161.70

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Solution

The fourth proportional to 189,280.78, 283,980.30 and 56,161.70 is: 84,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,280.78 : 283,980.30 = 56,161.70 : x
  2. Step 2: Convert to fraction form
    189,280.78/283,980.30 = 56,161.70/x
  3. Step 3: Cross multiply
    189,280.78x = 283,980.30 × 56,161.70
  4. Step 4: Simplify right side
    189,280.78x = 15,948,816,414.51
  5. Step 5: Solve for x
    x = 15,948,816,414.51/189,280.78
  6. Step 6: Final answer
    x = 84,260.09

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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.