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Finding the Fourth Proportional to 166,538.68, 249,766.40 and 65,357.28

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Solution

The fourth proportional to 166,538.68, 249,766.40 and 65,357.28 is: 98,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,538.68 : 249,766.40 = 65,357.28 : x
  2. Step 2: Convert to fraction form
    166,538.68/249,766.40 = 65,357.28/x
  3. Step 3: Cross multiply
    166,538.68x = 249,766.40 × 65,357.28
  4. Step 4: Simplify right side
    166,538.68x = 16,324,052,702.79
  5. Step 5: Solve for x
    x = 16,324,052,702.79/166,538.68
  6. Step 6: Final answer
    x = 98,019.59

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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.