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Finding the Fourth Proportional to 361,575.94, 542,369.38 and 136,876.05

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Solution

The fourth proportional to 361,575.94, 542,369.38 and 136,876.05 is: 205,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,575.94 : 542,369.38 = 136,876.05 : x
  2. Step 2: Convert to fraction form
    361,575.94/542,369.38 = 136,876.05/x
  3. Step 3: Cross multiply
    361,575.94x = 542,369.38 × 136,876.05
  4. Step 4: Simplify right side
    361,575.94x = 74,237,375,663.50
  5. Step 5: Solve for x
    x = 74,237,375,663.50/361,575.94
  6. Step 6: Final answer
    x = 205,316.14

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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.