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Finding the Fourth Proportional to 166,472, 249,655.92 and 55,638.08

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Solution

The fourth proportional to 166,472, 249,655.92 and 55,638.08 is: 83,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,472 : 249,655.92 = 55,638.08 : x
  2. Step 2: Convert to fraction form
    166,472/249,655.92 = 55,638.08/x
  3. Step 3: Cross multiply
    166,472x = 249,655.92 × 55,638.08
  4. Step 4: Simplify right side
    166,472x = 13,890,376,049.43
  5. Step 5: Solve for x
    x = 13,890,376,049.43/166,472
  6. Step 6: Final answer
    x = 83,439.71

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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.