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Finding the Fourth Proportional to 194,983.80, 292,038.30 and 159,991.80

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Solution

The fourth proportional to 194,983.80, 292,038.30 and 159,991.80 is: 239,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,983.80 : 292,038.30 = 159,991.80 : x
  2. Step 2: Convert to fraction form
    194,983.80/292,038.30 = 159,991.80/x
  3. Step 3: Cross multiply
    194,983.80x = 292,038.30 × 159,991.80
  4. Step 4: Simplify right side
    194,983.80x = 46,723,733,285.94
  5. Step 5: Solve for x
    x = 46,723,733,285.94/194,983.80
  6. Step 6: Final answer
    x = 239,628.80

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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.