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Finding the Fourth Proportional to 301,099.96, 415,459.02 and 178,569.64

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Solution

The fourth proportional to 301,099.96, 415,459.02 and 178,569.64 is: 246,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,099.96 : 415,459.02 = 178,569.64 : x
  2. Step 2: Convert to fraction form
    301,099.96/415,459.02 = 178,569.64/x
  3. Step 3: Cross multiply
    301,099.96x = 415,459.02 × 178,569.64
  4. Step 4: Simplify right side
    301,099.96x = 74,188,367,636.15
  5. Step 5: Solve for x
    x = 74,188,367,636.15/301,099.96
  6. Step 6: Final answer
    x = 246,391.16

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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.