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Finding the Fourth Proportional to 114,633.65, 171,984.65 and 54,707.12

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Solution

The fourth proportional to 114,633.65, 171,984.65 and 54,707.12 is: 82,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,633.65 : 171,984.65 = 54,707.12 : x
  2. Step 2: Convert to fraction form
    114,633.65/171,984.65 = 54,707.12/x
  3. Step 3: Cross multiply
    114,633.65x = 171,984.65 × 54,707.12
  4. Step 4: Simplify right side
    114,633.65x = 9,408,784,885.71
  5. Step 5: Solve for x
    x = 9,408,784,885.71/114,633.65
  6. Step 6: Final answer
    x = 82,076.99

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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.