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Finding the Fourth Proportional to 131,960.70, 197,811.45 and 65,411.10

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Solution

The fourth proportional to 131,960.70, 197,811.45 and 65,411.10 is: 98,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,960.70 : 197,811.45 = 65,411.10 : x
  2. Step 2: Convert to fraction form
    131,960.70/197,811.45 = 65,411.10/x
  3. Step 3: Cross multiply
    131,960.70x = 197,811.45 × 65,411.10
  4. Step 4: Simplify right side
    131,960.70x = 12,939,064,537.10
  5. Step 5: Solve for x
    x = 12,939,064,537.10/131,960.70
  6. Step 6: Final answer
    x = 98,052.41

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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.