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Finding the Fourth Proportional to 166,525.96, 249,825.80 and 77,730.97

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Solution

The fourth proportional to 166,525.96, 249,825.80 and 77,730.97 is: 116,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,525.96 : 249,825.80 = 77,730.97 : x
  2. Step 2: Convert to fraction form
    166,525.96/249,825.80 = 77,730.97/x
  3. Step 3: Cross multiply
    166,525.96x = 249,825.80 × 77,730.97
  4. Step 4: Simplify right side
    166,525.96x = 19,419,201,765.03
  5. Step 5: Solve for x
    x = 19,419,201,765.03/166,525.96
  6. Step 6: Final answer
    x = 116,613.66

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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.