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Finding the Fourth Proportional to 160,446.46, 240,790.74 and 109,724.29

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Solution

The fourth proportional to 160,446.46, 240,790.74 and 109,724.29 is: 164,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,446.46 : 240,790.74 = 109,724.29 : x
  2. Step 2: Convert to fraction form
    160,446.46/240,790.74 = 109,724.29/x
  3. Step 3: Cross multiply
    160,446.46x = 240,790.74 × 109,724.29
  4. Step 4: Simplify right side
    160,446.46x = 26,420,593,697.53
  5. Step 5: Solve for x
    x = 26,420,593,697.53/160,446.46
  6. Step 6: Final answer
    x = 164,669.22

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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.