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Finding the Fourth Proportional to 361,242.24, 542,196 and 183,876

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Solution

The fourth proportional to 361,242.24, 542,196 and 183,876 is: 275,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,242.24 : 542,196 = 183,876 : x
  2. Step 2: Convert to fraction form
    361,242.24/542,196 = 183,876/x
  3. Step 3: Cross multiply
    361,242.24x = 542,196 × 183,876
  4. Step 4: Simplify right side
    361,242.24x = 99,696,831,696
  5. Step 5: Solve for x
    x = 99,696,831,696/361,242.24
  6. Step 6: Final answer
    x = 275,983.32

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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.