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Finding the Fourth Proportional to 377,013.42, 565,610.31 and 110,768.04

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Solution

The fourth proportional to 377,013.42, 565,610.31 and 110,768.04 is: 166,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,013.42 : 565,610.31 = 110,768.04 : x
  2. Step 2: Convert to fraction form
    377,013.42/565,610.31 = 110,768.04/x
  3. Step 3: Cross multiply
    377,013.42x = 565,610.31 × 110,768.04
  4. Step 4: Simplify right side
    377,013.42x = 62,651,545,442.49
  5. Step 5: Solve for x
    x = 62,651,545,442.49/377,013.42
  6. Step 6: Final answer
    x = 166,178.56

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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.