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Finding the Fourth Proportional to 147,757.70, 221,324.55 and 97,861.70

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Solution

The fourth proportional to 147,757.70, 221,324.55 and 97,861.70 is: 146,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,757.70 : 221,324.55 = 97,861.70 : x
  2. Step 2: Convert to fraction form
    147,757.70/221,324.55 = 97,861.70/x
  3. Step 3: Cross multiply
    147,757.70x = 221,324.55 × 97,861.70
  4. Step 4: Simplify right side
    147,757.70x = 21,659,196,714.74
  5. Step 5: Solve for x
    x = 21,659,196,714.74/147,757.70
  6. Step 6: Final answer
    x = 146,585.91

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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.