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Finding the Fourth Proportional to 377,116.96, 565,539.36 and 110,806.24

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Solution

The fourth proportional to 377,116.96, 565,539.36 and 110,806.24 is: 166,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,116.96 : 565,539.36 = 110,806.24 : x
  2. Step 2: Convert to fraction form
    377,116.96/565,539.36 = 110,806.24/x
  3. Step 3: Cross multiply
    377,116.96x = 565,539.36 × 110,806.24
  4. Step 4: Simplify right side
    377,116.96x = 62,665,290,053.61
  5. Step 5: Solve for x
    x = 62,665,290,053.61/377,116.96
  6. Step 6: Final answer
    x = 166,169.38

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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.