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Finding the Fourth Proportional to 189,201.47, 283,697.63 and 75,233.84

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Solution

The fourth proportional to 189,201.47, 283,697.63 and 75,233.84 is: 112,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,201.47 : 283,697.63 = 75,233.84 : x
  2. Step 2: Convert to fraction form
    189,201.47/283,697.63 = 75,233.84/x
  3. Step 3: Cross multiply
    189,201.47x = 283,697.63 × 75,233.84
  4. Step 4: Simplify right side
    189,201.47x = 21,343,661,727.63
  5. Step 5: Solve for x
    x = 21,343,661,727.63/189,201.47
  6. Step 6: Final answer
    x = 112,809.17

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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.