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Finding the Fourth Proportional to 228,968.19, 315,611.13 and 180,491.11

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Solution

The fourth proportional to 228,968.19, 315,611.13 and 180,491.11 is: 248,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,968.19 : 315,611.13 = 180,491.11 : x
  2. Step 2: Convert to fraction form
    228,968.19/315,611.13 = 180,491.11/x
  3. Step 3: Cross multiply
    228,968.19x = 315,611.13 × 180,491.11
  4. Step 4: Simplify right side
    228,968.19x = 56,965,003,182.05
  5. Step 5: Solve for x
    x = 56,965,003,182.05/228,968.19
  6. Step 6: Final answer
    x = 248,790.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.