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Finding the Fourth Proportional to 377,012.80, 565,609.38 and 110,767.42

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Solution

The fourth proportional to 377,012.80, 565,609.38 and 110,767.42 is: 166,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,012.80 : 565,609.38 = 110,767.42 : x
  2. Step 2: Convert to fraction form
    377,012.80/565,609.38 = 110,767.42/x
  3. Step 3: Cross multiply
    377,012.80x = 565,609.38 × 110,767.42
  4. Step 4: Simplify right side
    377,012.80x = 62,651,088,368.52
  5. Step 5: Solve for x
    x = 62,651,088,368.52/377,012.80
  6. Step 6: Final answer
    x = 166,177.62

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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.