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Finding the Fourth Proportional to 166,336.20, 249,635.34 and 77,544

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Solution

The fourth proportional to 166,336.20, 249,635.34 and 77,544 is: 116,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,336.20 : 249,635.34 = 77,544 : x
  2. Step 2: Convert to fraction form
    166,336.20/249,635.34 = 77,544/x
  3. Step 3: Cross multiply
    166,336.20x = 249,635.34 × 77,544
  4. Step 4: Simplify right side
    166,336.20x = 19,357,722,804.96
  5. Step 5: Solve for x
    x = 19,357,722,804.96/166,336.20
  6. Step 6: Final answer
    x = 116,377.09

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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.