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Finding the Fourth Proportional to 180,234.67, 270,411.23 and 73,708.23

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Solution

The fourth proportional to 180,234.67, 270,411.23 and 73,708.23 is: 110,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,234.67 : 270,411.23 = 73,708.23 : x
  2. Step 2: Convert to fraction form
    180,234.67/270,411.23 = 73,708.23/x
  3. Step 3: Cross multiply
    180,234.67x = 270,411.23 × 73,708.23
  4. Step 4: Simplify right side
    180,234.67x = 19,931,533,135.42
  5. Step 5: Solve for x
    x = 19,931,533,135.42/180,234.67
  6. Step 6: Final answer
    x = 110,586.57

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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.