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Finding the Fourth Proportional to 114,285.76, 171,315.63 and 54,208.87

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Solution

The fourth proportional to 114,285.76, 171,315.63 and 54,208.87 is: 81,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,285.76 : 171,315.63 = 54,208.87 : x
  2. Step 2: Convert to fraction form
    114,285.76/171,315.63 = 54,208.87/x
  3. Step 3: Cross multiply
    114,285.76x = 171,315.63 × 54,208.87
  4. Step 4: Simplify right side
    114,285.76x = 9,286,826,287.35
  5. Step 5: Solve for x
    x = 9,286,826,287.35/114,285.76
  6. Step 6: Final answer
    x = 81,259.70

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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.