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Finding the Fourth Proportional to 194,605.16, 268,555.16 and 109,722.22

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Solution

The fourth proportional to 194,605.16, 268,555.16 and 109,722.22 is: 151,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,605.16 : 268,555.16 = 109,722.22 : x
  2. Step 2: Convert to fraction form
    194,605.16/268,555.16 = 109,722.22/x
  3. Step 3: Cross multiply
    194,605.16x = 268,555.16 × 109,722.22
  4. Step 4: Simplify right side
    194,605.16x = 29,466,467,950.57
  5. Step 5: Solve for x
    x = 29,466,467,950.57/194,605.16
  6. Step 6: Final answer
    x = 151,416.69

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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.