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Finding the Fourth Proportional to 120,032.41, 165,642.78 and 65,583.41

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Solution

The fourth proportional to 120,032.41, 165,642.78 and 65,583.41 is: 90,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,032.41 : 165,642.78 = 65,583.41 : x
  2. Step 2: Convert to fraction form
    120,032.41/165,642.78 = 65,583.41/x
  3. Step 3: Cross multiply
    120,032.41x = 165,642.78 × 65,583.41
  4. Step 4: Simplify right side
    120,032.41x = 10,863,417,198.15
  5. Step 5: Solve for x
    x = 10,863,417,198.15/120,032.41
  6. Step 6: Final answer
    x = 90,504.04

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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.