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Finding the Fourth Proportional to 180,471.14, 270,613.26 and 96,208.67

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Solution

The fourth proportional to 180,471.14, 270,613.26 and 96,208.67 is: 144,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,471.14 : 270,613.26 = 96,208.67 : x
  2. Step 2: Convert to fraction form
    180,471.14/270,613.26 = 96,208.67/x
  3. Step 3: Cross multiply
    180,471.14x = 270,613.26 × 96,208.67
  4. Step 4: Simplify right side
    180,471.14x = 26,035,341,828.96
  5. Step 5: Solve for x
    x = 26,035,341,828.96/180,471.14
  6. Step 6: Final answer
    x = 144,263.19

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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.