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Finding the Fourth Proportional to 360,071.84, 540,116.40 and 110,756

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Solution

The fourth proportional to 360,071.84, 540,116.40 and 110,756 is: 166,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,071.84 : 540,116.40 = 110,756 : x
  2. Step 2: Convert to fraction form
    360,071.84/540,116.40 = 110,756/x
  3. Step 3: Cross multiply
    360,071.84x = 540,116.40 × 110,756
  4. Step 4: Simplify right side
    360,071.84x = 59,821,131,998.40
  5. Step 5: Solve for x
    x = 59,821,131,998.40/360,071.84
  6. Step 6: Final answer
    x = 166,136.66

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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.