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Finding the Fourth Proportional to 242,092, 363,196.32 and 75,880

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Solution

The fourth proportional to 242,092, 363,196.32 and 75,880 is: 113,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,092 : 363,196.32 = 75,880 : x
  2. Step 2: Convert to fraction form
    242,092/363,196.32 = 75,880/x
  3. Step 3: Cross multiply
    242,092x = 363,196.32 × 75,880
  4. Step 4: Simplify right side
    242,092x = 27,559,336,761.60
  5. Step 5: Solve for x
    x = 27,559,336,761.60/242,092
  6. Step 6: Final answer
    x = 113,838.28

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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.