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Finding the Fourth Proportional to 189,148.82, 283,732.98 and 48,908.66

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Solution

The fourth proportional to 189,148.82, 283,732.98 and 48,908.66 is: 73,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,148.82 : 283,732.98 = 48,908.66 : x
  2. Step 2: Convert to fraction form
    189,148.82/283,732.98 = 48,908.66/x
  3. Step 3: Cross multiply
    189,148.82x = 283,732.98 × 48,908.66
  4. Step 4: Simplify right side
    189,148.82x = 13,876,999,849.61
  5. Step 5: Solve for x
    x = 13,876,999,849.61/189,148.82
  6. Step 6: Final answer
    x = 73,365.51

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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.