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Finding the Fourth Proportional to 120,412.40, 180,553.80 and 50,212.40

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Solution

The fourth proportional to 120,412.40, 180,553.80 and 50,212.40 is: 75,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.40 : 180,553.80 = 50,212.40 : x
  2. Step 2: Convert to fraction form
    120,412.40/180,553.80 = 50,212.40/x
  3. Step 3: Cross multiply
    120,412.40x = 180,553.80 × 50,212.40
  4. Step 4: Simplify right side
    120,412.40x = 9,066,039,627.12
  5. Step 5: Solve for x
    x = 9,066,039,627.12/120,412.40
  6. Step 6: Final answer
    x = 75,291.58

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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.