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Finding the Fourth Proportional to 237,953.82, 356,385.93 and 119,658.78

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Solution

The fourth proportional to 237,953.82, 356,385.93 and 119,658.78 is: 179,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,953.82 : 356,385.93 = 119,658.78 : x
  2. Step 2: Convert to fraction form
    237,953.82/356,385.93 = 119,658.78/x
  3. Step 3: Cross multiply
    237,953.82x = 356,385.93 × 119,658.78
  4. Step 4: Simplify right side
    237,953.82x = 42,644,705,592.97
  5. Step 5: Solve for x
    x = 42,644,705,592.97/237,953.82
  6. Step 6: Final answer
    x = 179,214.21

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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.