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Finding the Fourth Proportional to 166,709.54, 249,749.93 and 82,371.53

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Solution

The fourth proportional to 166,709.54, 249,749.93 and 82,371.53 is: 123,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,709.54 : 249,749.93 = 82,371.53 : x
  2. Step 2: Convert to fraction form
    166,709.54/249,749.93 = 82,371.53/x
  3. Step 3: Cross multiply
    166,709.54x = 249,749.93 × 82,371.53
  4. Step 4: Simplify right side
    166,709.54x = 20,572,284,681.80
  5. Step 5: Solve for x
    x = 20,572,284,681.80/166,709.54
  6. Step 6: Final answer
    x = 123,401.96

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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.