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Finding the Fourth Proportional to 166,338.20, 249,638.34 and 77,546

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Solution

The fourth proportional to 166,338.20, 249,638.34 and 77,546 is: 116,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,338.20 : 249,638.34 = 77,546 : x
  2. Step 2: Convert to fraction form
    166,338.20/249,638.34 = 77,546/x
  3. Step 3: Cross multiply
    166,338.20x = 249,638.34 × 77,546
  4. Step 4: Simplify right side
    166,338.20x = 19,358,454,713.64
  5. Step 5: Solve for x
    x = 19,358,454,713.64/166,338.20
  6. Step 6: Final answer
    x = 116,380.09

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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.