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Finding the Fourth Proportional to 188,606.87, 282,943.06 and 76,282.55

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Solution

The fourth proportional to 188,606.87, 282,943.06 and 76,282.55 is: 114,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,606.87 : 282,943.06 = 76,282.55 : x
  2. Step 2: Convert to fraction form
    188,606.87/282,943.06 = 76,282.55/x
  3. Step 3: Cross multiply
    188,606.87x = 282,943.06 × 76,282.55
  4. Step 4: Simplify right side
    188,606.87x = 21,583,616,516.18
  5. Step 5: Solve for x
    x = 21,583,616,516.18/188,606.87
  6. Step 6: Final answer
    x = 114,437.07

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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.