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Finding the Fourth Proportional to 122,315.34, 183,491.25 and 43,422.96

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Solution

The fourth proportional to 122,315.34, 183,491.25 and 43,422.96 is: 65,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,315.34 : 183,491.25 = 43,422.96 : x
  2. Step 2: Convert to fraction form
    122,315.34/183,491.25 = 43,422.96/x
  3. Step 3: Cross multiply
    122,315.34x = 183,491.25 × 43,422.96
  4. Step 4: Simplify right side
    122,315.34x = 7,967,733,209.10
  5. Step 5: Solve for x
    x = 7,967,733,209.10/122,315.34
  6. Step 6: Final answer
    x = 65,140.92

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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.