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Finding the Fourth Proportional to 150,682.87, 207,945.80 and 85,266.46

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Solution

The fourth proportional to 150,682.87, 207,945.80 and 85,266.46 is: 117,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,682.87 : 207,945.80 = 85,266.46 : x
  2. Step 2: Convert to fraction form
    150,682.87/207,945.80 = 85,266.46/x
  3. Step 3: Cross multiply
    150,682.87x = 207,945.80 × 85,266.46
  4. Step 4: Simplify right side
    150,682.87x = 17,730,802,237.87
  5. Step 5: Solve for x
    x = 17,730,802,237.87/150,682.87
  6. Step 6: Final answer
    x = 117,669.66

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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.