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Finding the Fourth Proportional to 189,187.48, 283,808.76 and 56,050.48

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Solution

The fourth proportional to 189,187.48, 283,808.76 and 56,050.48 is: 84,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,187.48 : 283,808.76 = 56,050.48 : x
  2. Step 2: Convert to fraction form
    189,187.48/283,808.76 = 56,050.48/x
  3. Step 3: Cross multiply
    189,187.48x = 283,808.76 × 56,050.48
  4. Step 4: Simplify right side
    189,187.48x = 15,907,617,226.20
  5. Step 5: Solve for x
    x = 15,907,617,226.20/189,187.48
  6. Step 6: Final answer
    x = 84,083.88

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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.