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Finding the Fourth Proportional to 242,105.76, 363,011.04 and 92,185.92

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Solution

The fourth proportional to 242,105.76, 363,011.04 and 92,185.92 is: 138,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,105.76 : 363,011.04 = 92,185.92 : x
  2. Step 2: Convert to fraction form
    242,105.76/363,011.04 = 92,185.92/x
  3. Step 3: Cross multiply
    242,105.76x = 363,011.04 × 92,185.92
  4. Step 4: Simplify right side
    242,105.76x = 33,464,506,692.56
  5. Step 5: Solve for x
    x = 33,464,506,692.56/242,105.76
  6. Step 6: Final answer
    x = 138,222.68

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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.