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Finding the Fourth Proportional to 180,312.12, 270,506.80 and 53,962.12

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Solution

The fourth proportional to 180,312.12, 270,506.80 and 53,962.12 is: 80,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,312.12 : 270,506.80 = 53,962.12 : x
  2. Step 2: Convert to fraction form
    180,312.12/270,506.80 = 53,962.12/x
  3. Step 3: Cross multiply
    180,312.12x = 270,506.80 × 53,962.12
  4. Step 4: Simplify right side
    180,312.12x = 14,597,120,402.42
  5. Step 5: Solve for x
    x = 14,597,120,402.42/180,312.12
  6. Step 6: Final answer
    x = 80,954.74

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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.