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Finding the Fourth Proportional to 323,174.14, 484,830.70 and 161,156.47

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Solution

The fourth proportional to 323,174.14, 484,830.70 and 161,156.47 is: 241,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,174.14 : 484,830.70 = 161,156.47 : x
  2. Step 2: Convert to fraction form
    323,174.14/484,830.70 = 161,156.47/x
  3. Step 3: Cross multiply
    323,174.14x = 484,830.70 × 161,156.47
  4. Step 4: Simplify right side
    323,174.14x = 78,133,604,159.63
  5. Step 5: Solve for x
    x = 78,133,604,159.63/323,174.14
  6. Step 6: Final answer
    x = 241,769.36

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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.