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Finding the Fourth Proportional to 189,204.66, 283,805.64 and 56,085.48

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Solution

The fourth proportional to 189,204.66, 283,805.64 and 56,085.48 is: 84,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,204.66 : 283,805.64 = 56,085.48 : x
  2. Step 2: Convert to fraction form
    189,204.66/283,805.64 = 56,085.48/x
  3. Step 3: Cross multiply
    189,204.66x = 283,805.64 × 56,085.48
  4. Step 4: Simplify right side
    189,204.66x = 15,917,375,546.11
  5. Step 5: Solve for x
    x = 15,917,375,546.11/189,204.66
  6. Step 6: Final answer
    x = 84,127.82

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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.