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Finding the Fourth Proportional to 188,567.20, 282,850.80 and 146,576.80

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Solution

The fourth proportional to 188,567.20, 282,850.80 and 146,576.80 is: 219,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,567.20 : 282,850.80 = 146,576.80 : x
  2. Step 2: Convert to fraction form
    188,567.20/282,850.80 = 146,576.80/x
  3. Step 3: Cross multiply
    188,567.20x = 282,850.80 × 146,576.80
  4. Step 4: Simplify right side
    188,567.20x = 41,459,365,141.44
  5. Step 5: Solve for x
    x = 41,459,365,141.44/188,567.20
  6. Step 6: Final answer
    x = 219,865.20

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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.