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Finding the Fourth Proportional to 188,865.65, 283,232.46 and 55,710.56

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Solution

The fourth proportional to 188,865.65, 283,232.46 and 55,710.56 is: 83,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,865.65 : 283,232.46 = 55,710.56 : x
  2. Step 2: Convert to fraction form
    188,865.65/283,232.46 = 55,710.56/x
  3. Step 3: Cross multiply
    188,865.65x = 283,232.46 × 55,710.56
  4. Step 4: Simplify right side
    188,865.65x = 15,779,038,956.78
  5. Step 5: Solve for x
    x = 15,779,038,956.78/188,865.65
  6. Step 6: Final answer
    x = 83,546.37

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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.