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Finding the Fourth Proportional to 131,610.84, 197,356.92 and 65,025

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Solution

The fourth proportional to 131,610.84, 197,356.92 and 65,025 is: 97,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,610.84 : 197,356.92 = 65,025 : x
  2. Step 2: Convert to fraction form
    131,610.84/197,356.92 = 65,025/x
  3. Step 3: Cross multiply
    131,610.84x = 197,356.92 × 65,025
  4. Step 4: Simplify right side
    131,610.84x = 12,833,133,723
  5. Step 5: Solve for x
    x = 12,833,133,723/131,610.84
  6. Step 6: Final answer
    x = 97,508.18

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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.