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Finding the Fourth Proportional to 189,147.82, 283,731.48 and 48,907.66

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Solution

The fourth proportional to 189,147.82, 283,731.48 and 48,907.66 is: 73,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,147.82 : 283,731.48 = 48,907.66 : x
  2. Step 2: Convert to fraction form
    189,147.82/283,731.48 = 48,907.66/x
  3. Step 3: Cross multiply
    189,147.82x = 283,731.48 × 48,907.66
  4. Step 4: Simplify right side
    189,147.82x = 13,876,642,755.14
  5. Step 5: Solve for x
    x = 13,876,642,755.14/189,147.82
  6. Step 6: Final answer
    x = 73,364.01

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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.