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Finding the Fourth Proportional to 166,643.40, 249,986.70 and 82,446.60

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Solution

The fourth proportional to 166,643.40, 249,986.70 and 82,446.60 is: 123,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,643.40 : 249,986.70 = 82,446.60 : x
  2. Step 2: Convert to fraction form
    166,643.40/249,986.70 = 82,446.60/x
  3. Step 3: Cross multiply
    166,643.40x = 249,986.70 × 82,446.60
  4. Step 4: Simplify right side
    166,643.40x = 20,610,553,460.22
  5. Step 5: Solve for x
    x = 20,610,553,460.22/166,643.40
  6. Step 6: Final answer
    x = 123,680.59

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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.