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Finding the Fourth Proportional to 166,523.46, 249,822.05 and 77,728.47

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Solution

The fourth proportional to 166,523.46, 249,822.05 and 77,728.47 is: 116,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,523.46 : 249,822.05 = 77,728.47 : x
  2. Step 2: Convert to fraction form
    166,523.46/249,822.05 = 77,728.47/x
  3. Step 3: Cross multiply
    166,523.46x = 249,822.05 × 77,728.47
  4. Step 4: Simplify right side
    166,523.46x = 19,418,285,330.12
  5. Step 5: Solve for x
    x = 19,418,285,330.12/166,523.46
  6. Step 6: Final answer
    x = 116,609.91

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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.