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Finding the Fourth Proportional to 114,463.20, 171,730.80 and 55,300.80

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Solution

The fourth proportional to 114,463.20, 171,730.80 and 55,300.80 is: 82,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,463.20 : 171,730.80 = 55,300.80 : x
  2. Step 2: Convert to fraction form
    114,463.20/171,730.80 = 55,300.80/x
  3. Step 3: Cross multiply
    114,463.20x = 171,730.80 × 55,300.80
  4. Step 4: Simplify right side
    114,463.20x = 9,496,850,624.64
  5. Step 5: Solve for x
    x = 9,496,850,624.64/114,463.20
  6. Step 6: Final answer
    x = 82,968.59

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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.