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Finding the Fourth Proportional to 301,099.34, 415,522.43 and 165,132.11

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Solution

The fourth proportional to 301,099.34, 415,522.43 and 165,132.11 is: 227,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,099.34 : 415,522.43 = 165,132.11 : x
  2. Step 2: Convert to fraction form
    301,099.34/415,522.43 = 165,132.11/x
  3. Step 3: Cross multiply
    301,099.34x = 415,522.43 × 165,132.11
  4. Step 4: Simplify right side
    301,099.34x = 68,616,095,618.23
  5. Step 5: Solve for x
    x = 68,616,095,618.23/301,099.34
  6. Step 6: Final answer
    x = 227,885.24

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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.