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Finding the Fourth Proportional to 188,558.58, 282,837.76 and 55,439.94

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Solution

The fourth proportional to 188,558.58, 282,837.76 and 55,439.94 is: 83,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,558.58 : 282,837.76 = 55,439.94 : x
  2. Step 2: Convert to fraction form
    188,558.58/282,837.76 = 55,439.94/x
  3. Step 3: Cross multiply
    188,558.58x = 282,837.76 × 55,439.94
  4. Step 4: Simplify right side
    188,558.58x = 15,680,508,444.13
  5. Step 5: Solve for x
    x = 15,680,508,444.13/188,558.58
  6. Step 6: Final answer
    x = 83,159.88

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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.