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Finding the Fourth Proportional to 215,896.20, 323,747.10 and 97,506.60

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Solution

The fourth proportional to 215,896.20, 323,747.10 and 97,506.60 is: 146,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,896.20 : 323,747.10 = 97,506.60 : x
  2. Step 2: Convert to fraction form
    215,896.20/323,747.10 = 97,506.60/x
  3. Step 3: Cross multiply
    215,896.20x = 323,747.10 × 97,506.60
  4. Step 4: Simplify right side
    215,896.20x = 31,567,478,980.86
  5. Step 5: Solve for x
    x = 31,567,478,980.86/215,896.20
  6. Step 6: Final answer
    x = 146,216.00

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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.