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Finding the Fourth Proportional to 275,217.90, 412,835.49 and 97,722.06

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Solution

The fourth proportional to 275,217.90, 412,835.49 and 97,722.06 is: 146,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,217.90 : 412,835.49 = 97,722.06 : x
  2. Step 2: Convert to fraction form
    275,217.90/412,835.49 = 97,722.06/x
  3. Step 3: Cross multiply
    275,217.90x = 412,835.49 × 97,722.06
  4. Step 4: Simplify right side
    275,217.90x = 40,343,134,523.91
  5. Step 5: Solve for x
    x = 40,343,134,523.91/275,217.90
  6. Step 6: Final answer
    x = 146,586.16

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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.