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Finding the Fourth Proportional to 189,209.51, 283,795.83 and 76,896.46

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Solution

The fourth proportional to 189,209.51, 283,795.83 and 76,896.46 is: 115,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,209.51 : 283,795.83 = 76,896.46 : x
  2. Step 2: Convert to fraction form
    189,209.51/283,795.83 = 76,896.46/x
  3. Step 3: Cross multiply
    189,209.51x = 283,795.83 × 76,896.46
  4. Step 4: Simplify right side
    189,209.51x = 21,822,893,980.27
  5. Step 5: Solve for x
    x = 21,822,893,980.27/189,209.51
  6. Step 6: Final answer
    x = 115,337.20

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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.