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Finding the Fourth Proportional to 120,160.80, 180,241.20 and 114,328.80

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Solution

The fourth proportional to 120,160.80, 180,241.20 and 114,328.80 is: 171,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,160.80 : 180,241.20 = 114,328.80 : x
  2. Step 2: Convert to fraction form
    120,160.80/180,241.20 = 114,328.80/x
  3. Step 3: Cross multiply
    120,160.80x = 180,241.20 × 114,328.80
  4. Step 4: Simplify right side
    120,160.80x = 20,606,760,106.56
  5. Step 5: Solve for x
    x = 20,606,760,106.56/120,160.80
  6. Step 6: Final answer
    x = 171,493.20

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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.