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Finding the Fourth Proportional to 166,502.10, 249,753.15 and 150,431.70

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Solution

The fourth proportional to 166,502.10, 249,753.15 and 150,431.70 is: 225,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,502.10 : 249,753.15 = 150,431.70 : x
  2. Step 2: Convert to fraction form
    166,502.10/249,753.15 = 150,431.70/x
  3. Step 3: Cross multiply
    166,502.10x = 249,753.15 × 150,431.70
  4. Step 4: Simplify right side
    166,502.10x = 37,570,790,934.86
  5. Step 5: Solve for x
    x = 37,570,790,934.86/166,502.10
  6. Step 6: Final answer
    x = 225,647.55

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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.