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Finding the Fourth Proportional to 242,786.70, 364,070.70 and 92,977.20

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Solution

The fourth proportional to 242,786.70, 364,070.70 and 92,977.20 is: 139,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,786.70 : 364,070.70 = 92,977.20 : x
  2. Step 2: Convert to fraction form
    242,786.70/364,070.70 = 92,977.20/x
  3. Step 3: Cross multiply
    242,786.70x = 364,070.70 × 92,977.20
  4. Step 4: Simplify right side
    242,786.70x = 33,850,274,288.04
  5. Step 5: Solve for x
    x = 33,850,274,288.04/242,786.70
  6. Step 6: Final answer
    x = 139,423.92

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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.