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Finding the Fourth Proportional to 131,835.38, 181,932.74 and 71,406

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Solution

The fourth proportional to 131,835.38, 181,932.74 and 71,406 is: 98,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,835.38 : 181,932.74 = 71,406 : x
  2. Step 2: Convert to fraction form
    131,835.38/181,932.74 = 71,406/x
  3. Step 3: Cross multiply
    131,835.38x = 181,932.74 × 71,406
  4. Step 4: Simplify right side
    131,835.38x = 12,991,088,875.41
  5. Step 5: Solve for x
    x = 12,991,088,875.41/131,835.38
  6. Step 6: Final answer
    x = 98,540.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.