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Finding the Fourth Proportional to 166,542, 249,794.64 and 41,883

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Solution

The fourth proportional to 166,542, 249,794.64 and 41,883 is: 62,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,542 : 249,794.64 = 41,883 : x
  2. Step 2: Convert to fraction form
    166,542/249,794.64 = 41,883/x
  3. Step 3: Cross multiply
    166,542x = 249,794.64 × 41,883
  4. Step 4: Simplify right side
    166,542x = 10,462,148,907.12
  5. Step 5: Solve for x
    x = 10,462,148,907.12/166,542
  6. Step 6: Final answer
    x = 62,819.88

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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.