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Finding the Fourth Proportional to 123,506.97, 185,508.45 and 73,684.41

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Solution

The fourth proportional to 123,506.97, 185,508.45 and 73,684.41 is: 110,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,506.97 : 185,508.45 = 73,684.41 : x
  2. Step 2: Convert to fraction form
    123,506.97/185,508.45 = 73,684.41/x
  3. Step 3: Cross multiply
    123,506.97x = 185,508.45 × 73,684.41
  4. Step 4: Simplify right side
    123,506.97x = 13,669,080,688.26
  5. Step 5: Solve for x
    x = 13,669,080,688.26/123,506.97
  6. Step 6: Final answer
    x = 110,674.57

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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.