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Finding the Fourth Proportional to 275,342.69, 413,014.05 and 97,856.70

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Solution

The fourth proportional to 275,342.69, 413,014.05 and 97,856.70 is: 146,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,342.69 : 413,014.05 = 97,856.70 : x
  2. Step 2: Convert to fraction form
    275,342.69/413,014.05 = 97,856.70/x
  3. Step 3: Cross multiply
    275,342.69x = 413,014.05 × 97,856.70
  4. Step 4: Simplify right side
    275,342.69x = 40,416,191,986.64
  5. Step 5: Solve for x
    x = 40,416,191,986.64/275,342.69
  6. Step 6: Final answer
    x = 146,785.06

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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.