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Finding the Fourth Proportional to 166,777.74, 249,957.02 and 119,144.88

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Solution

The fourth proportional to 166,777.74, 249,957.02 and 119,144.88 is: 178,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,777.74 : 249,957.02 = 119,144.88 : x
  2. Step 2: Convert to fraction form
    166,777.74/249,957.02 = 119,144.88/x
  3. Step 3: Cross multiply
    166,777.74x = 249,957.02 × 119,144.88
  4. Step 4: Simplify right side
    166,777.74x = 29,781,098,557.33
  5. Step 5: Solve for x
    x = 29,781,098,557.33/166,777.74
  6. Step 6: Final answer
    x = 178,567.59

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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.