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Finding the Fourth Proportional to 180,047.34, 270,084.47 and 53,677.89

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Solution

The fourth proportional to 180,047.34, 270,084.47 and 53,677.89 is: 80,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,047.34 : 270,084.47 = 53,677.89 : x
  2. Step 2: Convert to fraction form
    180,047.34/270,084.47 = 53,677.89/x
  3. Step 3: Cross multiply
    180,047.34x = 270,084.47 × 53,677.89
  4. Step 4: Simplify right side
    180,047.34x = 14,497,564,202.98
  5. Step 5: Solve for x
    x = 14,497,564,202.98/180,047.34
  6. Step 6: Final answer
    x = 80,520.85

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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.