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Finding the Fourth Proportional to 122,294.34, 183,459.72 and 43,401.96

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Solution

The fourth proportional to 122,294.34, 183,459.72 and 43,401.96 is: 65,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,294.34 : 183,459.72 = 43,401.96 : x
  2. Step 2: Convert to fraction form
    122,294.34/183,459.72 = 43,401.96/x
  3. Step 3: Cross multiply
    122,294.34x = 183,459.72 × 43,401.96
  4. Step 4: Simplify right side
    122,294.34x = 7,962,511,429.05
  5. Step 5: Solve for x
    x = 7,962,511,429.05/122,294.34
  6. Step 6: Final answer
    x = 65,109.40

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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.