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Finding the Fourth Proportional to 166,102.33, 249,193.19 and 53,782.67

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Solution

The fourth proportional to 166,102.33, 249,193.19 and 53,782.67 is: 80,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,102.33 : 249,193.19 = 53,782.67 : x
  2. Step 2: Convert to fraction form
    166,102.33/249,193.19 = 53,782.67/x
  3. Step 3: Cross multiply
    166,102.33x = 249,193.19 × 53,782.67
  4. Step 4: Simplify right side
    166,102.33x = 13,402,275,104.02
  5. Step 5: Solve for x
    x = 13,402,275,104.02/166,102.33
  6. Step 6: Final answer
    x = 80,686.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.