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Finding the Fourth Proportional to 116,857.70, 175,226.51 and 53,623.38

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Solution

The fourth proportional to 116,857.70, 175,226.51 and 53,623.38 is: 80,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,857.70 : 175,226.51 = 53,623.38 : x
  2. Step 2: Convert to fraction form
    116,857.70/175,226.51 = 53,623.38/x
  3. Step 3: Cross multiply
    116,857.70x = 175,226.51 × 53,623.38
  4. Step 4: Simplify right side
    116,857.70x = 9,396,237,463.69
  5. Step 5: Solve for x
    x = 9,396,237,463.69/116,857.70
  6. Step 6: Final answer
    x = 80,407.52

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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.