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Finding the Fourth Proportional to 242,711.40, 363,894.30 and 92,893.80

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Solution

The fourth proportional to 242,711.40, 363,894.30 and 92,893.80 is: 139,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,711.40 : 363,894.30 = 92,893.80 : x
  2. Step 2: Convert to fraction form
    242,711.40/363,894.30 = 92,893.80/x
  3. Step 3: Cross multiply
    242,711.40x = 363,894.30 × 92,893.80
  4. Step 4: Simplify right side
    242,711.40x = 33,803,524,325.34
  5. Step 5: Solve for x
    x = 33,803,524,325.34/242,711.40
  6. Step 6: Final answer
    x = 139,274.56

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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.