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Finding the Fourth Proportional to 189,132.82, 283,708.95 and 48,892.66

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Solution

The fourth proportional to 189,132.82, 283,708.95 and 48,892.66 is: 73,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,132.82 : 283,708.95 = 48,892.66 : x
  2. Step 2: Convert to fraction form
    189,132.82/283,708.95 = 48,892.66/x
  3. Step 3: Cross multiply
    189,132.82x = 283,708.95 × 48,892.66
  4. Step 4: Simplify right side
    189,132.82x = 13,871,285,231.31
  5. Step 5: Solve for x
    x = 13,871,285,231.31/189,132.82
  6. Step 6: Final answer
    x = 73,341.50

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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.