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Finding the Fourth Proportional to 109,193.57, 150,686.64 and 61,447.71

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Solution

The fourth proportional to 109,193.57, 150,686.64 and 61,447.71 is: 84,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,193.57 : 150,686.64 = 61,447.71 : x
  2. Step 2: Convert to fraction form
    109,193.57/150,686.64 = 61,447.71/x
  3. Step 3: Cross multiply
    109,193.57x = 150,686.64 × 61,447.71
  4. Step 4: Simplify right side
    109,193.57x = 9,259,348,955.59
  5. Step 5: Solve for x
    x = 9,259,348,955.59/109,193.57
  6. Step 6: Final answer
    x = 84,797.57

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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.