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Finding the Fourth Proportional to 166,107.34, 249,200.70 and 53,787.68

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Solution

The fourth proportional to 166,107.34, 249,200.70 and 53,787.68 is: 80,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,107.34 : 249,200.70 = 53,787.68 : x
  2. Step 2: Convert to fraction form
    166,107.34/249,200.70 = 53,787.68/x
  3. Step 3: Cross multiply
    166,107.34x = 249,200.70 × 53,787.68
  4. Step 4: Simplify right side
    166,107.34x = 13,403,927,507.38
  5. Step 5: Solve for x
    x = 13,403,927,507.38/166,107.34
  6. Step 6: Final answer
    x = 80,694.37

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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.