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Finding the Fourth Proportional to 180,566.72, 270,305.76 and 97,208

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Solution

The fourth proportional to 180,566.72, 270,305.76 and 97,208 is: 145,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,566.72 : 270,305.76 = 97,208 : x
  2. Step 2: Convert to fraction form
    180,566.72/270,305.76 = 97,208/x
  3. Step 3: Cross multiply
    180,566.72x = 270,305.76 × 97,208
  4. Step 4: Simplify right side
    180,566.72x = 26,275,882,318.08
  5. Step 5: Solve for x
    x = 26,275,882,318.08/180,566.72
  6. Step 6: Final answer
    x = 145,518.97

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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.