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Finding the Fourth Proportional to 166,575.86, 249,738.95 and 54,188.97

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Solution

The fourth proportional to 166,575.86, 249,738.95 and 54,188.97 is: 81,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,575.86 : 249,738.95 = 54,188.97 : x
  2. Step 2: Convert to fraction form
    166,575.86/249,738.95 = 54,188.97/x
  3. Step 3: Cross multiply
    166,575.86x = 249,738.95 × 54,188.97
  4. Step 4: Simplify right side
    166,575.86x = 13,533,096,198.44
  5. Step 5: Solve for x
    x = 13,533,096,198.44/166,575.86
  6. Step 6: Final answer
    x = 81,242.84

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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.