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Finding the Fourth Proportional to 375,942.84, 563,727.60 and 119,742

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Solution

The fourth proportional to 375,942.84, 563,727.60 and 119,742 is: 179,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,942.84 : 563,727.60 = 119,742 : x
  2. Step 2: Convert to fraction form
    375,942.84/563,727.60 = 119,742/x
  3. Step 3: Cross multiply
    375,942.84x = 563,727.60 × 119,742
  4. Step 4: Simplify right side
    375,942.84x = 67,501,870,279.20
  5. Step 5: Solve for x
    x = 67,501,870,279.20/375,942.84
  6. Step 6: Final answer
    x = 179,553.55

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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.