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Finding the Fourth Proportional to 166,594.46, 249,816.56 and 82,321.75

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Solution

The fourth proportional to 166,594.46, 249,816.56 and 82,321.75 is: 123,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,594.46 : 249,816.56 = 82,321.75 : x
  2. Step 2: Convert to fraction form
    166,594.46/249,816.56 = 82,321.75/x
  3. Step 3: Cross multiply
    166,594.46x = 249,816.56 × 82,321.75
  4. Step 4: Simplify right side
    166,594.46x = 20,565,336,298.84
  5. Step 5: Solve for x
    x = 20,565,336,298.84/166,594.46
  6. Step 6: Final answer
    x = 123,445.50

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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.