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Finding the Fourth Proportional to 120,522.72, 180,783.16 and 36,282.48

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Solution

The fourth proportional to 120,522.72, 180,783.16 and 36,282.48 is: 54,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,522.72 : 180,783.16 = 36,282.48 : x
  2. Step 2: Convert to fraction form
    120,522.72/180,783.16 = 36,282.48/x
  3. Step 3: Cross multiply
    120,522.72x = 180,783.16 × 36,282.48
  4. Step 4: Simplify right side
    120,522.72x = 6,559,261,387.04
  5. Step 5: Solve for x
    x = 6,559,261,387.04/120,522.72
  6. Step 6: Final answer
    x = 54,423.44

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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.