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Finding the Fourth Proportional to 242,239.28, 363,308.42 and 92,445.98

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Solution

The fourth proportional to 242,239.28, 363,308.42 and 92,445.98 is: 138,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,239.28 : 363,308.42 = 92,445.98 : x
  2. Step 2: Convert to fraction form
    242,239.28/363,308.42 = 92,445.98/x
  3. Step 3: Cross multiply
    242,239.28x = 363,308.42 × 92,445.98
  4. Step 4: Simplify right side
    242,239.28x = 33,586,401,343.72
  5. Step 5: Solve for x
    x = 33,586,401,343.72/242,239.28
  6. Step 6: Final answer
    x = 138,649.69

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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.