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Finding the Fourth Proportional to 194,829.60, 292,273.60 and 82,509.60

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Solution

The fourth proportional to 194,829.60, 292,273.60 and 82,509.60 is: 123,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,829.60 : 292,273.60 = 82,509.60 : x
  2. Step 2: Convert to fraction form
    194,829.60/292,273.60 = 82,509.60/x
  3. Step 3: Cross multiply
    194,829.60x = 292,273.60 × 82,509.60
  4. Step 4: Simplify right side
    194,829.60x = 24,115,377,826.56
  5. Step 5: Solve for x
    x = 24,115,377,826.56/194,829.60
  6. Step 6: Final answer
    x = 123,776.77

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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.