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Finding the Fourth Proportional to 166,098.80, 249,148.20 and 91,449.20

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Solution

The fourth proportional to 166,098.80, 249,148.20 and 91,449.20 is: 137,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,098.80 : 249,148.20 = 91,449.20 : x
  2. Step 2: Convert to fraction form
    166,098.80/249,148.20 = 91,449.20/x
  3. Step 3: Cross multiply
    166,098.80x = 249,148.20 × 91,449.20
  4. Step 4: Simplify right side
    166,098.80x = 22,784,403,571.44
  5. Step 5: Solve for x
    x = 22,784,403,571.44/166,098.80
  6. Step 6: Final answer
    x = 137,173.80

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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.