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Finding the Fourth Proportional to 166,166.80, 249,331.53 and 102,970

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Solution

The fourth proportional to 166,166.80, 249,331.53 and 102,970 is: 154,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,166.80 : 249,331.53 = 102,970 : x
  2. Step 2: Convert to fraction form
    166,166.80/249,331.53 = 102,970/x
  3. Step 3: Cross multiply
    166,166.80x = 249,331.53 × 102,970
  4. Step 4: Simplify right side
    166,166.80x = 25,673,667,644.10
  5. Step 5: Solve for x
    x = 25,673,667,644.10/166,166.80
  6. Step 6: Final answer
    x = 154,505.40

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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.