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Finding the Fourth Proportional to 167,013, 249,891.75 and 117,190.31

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Solution

The fourth proportional to 167,013, 249,891.75 and 117,190.31 is: 175,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,013 : 249,891.75 = 117,190.31 : x
  2. Step 2: Convert to fraction form
    167,013/249,891.75 = 117,190.31/x
  3. Step 3: Cross multiply
    167,013x = 249,891.75 × 117,190.31
  4. Step 4: Simplify right side
    167,013x = 29,284,890,399.48
  5. Step 5: Solve for x
    x = 29,284,890,399.48/167,013
  6. Step 6: Final answer
    x = 175,344.98

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1.5x scale

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.