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Finding the Fourth Proportional to 275,085.12, 412,491.48 and 97,565.52

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Solution

The fourth proportional to 275,085.12, 412,491.48 and 97,565.52 is: 146,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,085.12 : 412,491.48 = 97,565.52 : x
  2. Step 2: Convert to fraction form
    275,085.12/412,491.48 = 97,565.52/x
  3. Step 3: Cross multiply
    275,085.12x = 412,491.48 × 97,565.52
  4. Step 4: Simplify right side
    275,085.12x = 40,244,945,741.77
  5. Step 5: Solve for x
    x = 40,244,945,741.77/275,085.12
  6. Step 6: Final answer
    x = 146,299.97

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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.