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Finding the Fourth Proportional to 166,454.30, 249,744.30 and 99,940.80

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Solution

The fourth proportional to 166,454.30, 249,744.30 and 99,940.80 is: 149,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,454.30 : 249,744.30 = 99,940.80 : x
  2. Step 2: Convert to fraction form
    166,454.30/249,744.30 = 99,940.80/x
  3. Step 3: Cross multiply
    166,454.30x = 249,744.30 × 99,940.80
  4. Step 4: Simplify right side
    166,454.30x = 24,959,645,137.44
  5. Step 5: Solve for x
    x = 24,959,645,137.44/166,454.30
  6. Step 6: Final answer
    x = 149,948.94

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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.