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Finding the Fourth Proportional to 82,906.20, 124,094.70 and 65,410.20

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Solution

The fourth proportional to 82,906.20, 124,094.70 and 65,410.20 is: 97,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.20 : 124,094.70 = 65,410.20 : x
  2. Step 2: Convert to fraction form
    82,906.20/124,094.70 = 65,410.20/x
  3. Step 3: Cross multiply
    82,906.20x = 124,094.70 × 65,410.20
  4. Step 4: Simplify right side
    82,906.20x = 8,117,059,145.94
  5. Step 5: Solve for x
    x = 8,117,059,145.94/82,906.20
  6. Step 6: Final answer
    x = 97,906.54

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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.