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Finding the Fourth Proportional to 150,572.88, 207,789.14 and 82,588.50

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Solution

The fourth proportional to 150,572.88, 207,789.14 and 82,588.50 is: 113,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,572.88 : 207,789.14 = 82,588.50 : x
  2. Step 2: Convert to fraction form
    150,572.88/207,789.14 = 82,588.50/x
  3. Step 3: Cross multiply
    150,572.88x = 207,789.14 × 82,588.50
  4. Step 4: Simplify right side
    150,572.88x = 17,160,992,975.95
  5. Step 5: Solve for x
    x = 17,160,992,975.95/150,572.88
  6. Step 6: Final answer
    x = 113,971.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.