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Finding the Fourth Proportional to 114,288.98, 171,520.95 and 51,084.68

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Solution

The fourth proportional to 114,288.98, 171,520.95 and 51,084.68 is: 76,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,288.98 : 171,520.95 = 51,084.68 : x
  2. Step 2: Convert to fraction form
    114,288.98/171,520.95 = 51,084.68/x
  3. Step 3: Cross multiply
    114,288.98x = 171,520.95 × 51,084.68
  4. Step 4: Simplify right side
    114,288.98x = 8,762,091,986.44
  5. Step 5: Solve for x
    x = 8,762,091,986.44/114,288.98
  6. Step 6: Final answer
    x = 76,666.12

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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.