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Finding the Fourth Proportional to 166,387.80, 249,814.07 and 85,391.49

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Solution

The fourth proportional to 166,387.80, 249,814.07 and 85,391.49 is: 128,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,387.80 : 249,814.07 = 85,391.49 : x
  2. Step 2: Convert to fraction form
    166,387.80/249,814.07 = 85,391.49/x
  3. Step 3: Cross multiply
    166,387.80x = 249,814.07 × 85,391.49
  4. Step 4: Simplify right side
    166,387.80x = 21,331,996,268.05
  5. Step 5: Solve for x
    x = 21,331,996,268.05/166,387.80
  6. Step 6: Final answer
    x = 128,206.50

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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.