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Finding the Fourth Proportional to 242,893.33, 364,655.71 and 186,772.85

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Solution

The fourth proportional to 242,893.33, 364,655.71 and 186,772.85 is: 280,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,893.33 : 364,655.71 = 186,772.85 : x
  2. Step 2: Convert to fraction form
    242,893.33/364,655.71 = 186,772.85/x
  3. Step 3: Cross multiply
    242,893.33x = 364,655.71 × 186,772.85
  4. Step 4: Simplify right side
    242,893.33x = 68,107,785,764.30
  5. Step 5: Solve for x
    x = 68,107,785,764.30/242,893.33
  6. Step 6: Final answer
    x = 280,402.04

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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.