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Finding the Fourth Proportional to 120,597.35, 180,859.01 and 83,396.48

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Solution

The fourth proportional to 120,597.35, 180,859.01 and 83,396.48 is: 125,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,597.35 : 180,859.01 = 83,396.48 : x
  2. Step 2: Convert to fraction form
    120,597.35/180,859.01 = 83,396.48/x
  3. Step 3: Cross multiply
    120,597.35x = 180,859.01 × 83,396.48
  4. Step 4: Simplify right side
    120,597.35x = 15,083,004,845.45
  5. Step 5: Solve for x
    x = 15,083,004,845.45/120,597.35
  6. Step 6: Final answer
    x = 125,069.12

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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.