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Finding the Fourth Proportional to 144,976.50, 200,068.11 and 84,588.84

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Solution

The fourth proportional to 144,976.50, 200,068.11 and 84,588.84 is: 116,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,976.50 : 200,068.11 = 84,588.84 : x
  2. Step 2: Convert to fraction form
    144,976.50/200,068.11 = 84,588.84/x
  3. Step 3: Cross multiply
    144,976.50x = 200,068.11 × 84,588.84
  4. Step 4: Simplify right side
    144,976.50x = 16,923,529,345.89
  5. Step 5: Solve for x
    x = 16,923,529,345.89/144,976.50
  6. Step 6: Final answer
    x = 116,732.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.