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Finding the Fourth Proportional to 114,635.66, 171,987.66 and 54,709.12

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Solution

The fourth proportional to 114,635.66, 171,987.66 and 54,709.12 is: 82,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,635.66 : 171,987.66 = 54,709.12 : x
  2. Step 2: Convert to fraction form
    114,635.66/171,987.66 = 54,709.12/x
  3. Step 3: Cross multiply
    114,635.66x = 171,987.66 × 54,709.12
  4. Step 4: Simplify right side
    114,635.66x = 9,409,293,529.46
  5. Step 5: Solve for x
    x = 9,409,293,529.46/114,635.66
  6. Step 6: Final answer
    x = 82,079.99

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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.