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Finding the Fourth Proportional to 191,833.92, 287,833.78 and 102,983.66

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Solution

The fourth proportional to 191,833.92, 287,833.78 and 102,983.66 is: 154,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,833.92 : 287,833.78 = 102,983.66 : x
  2. Step 2: Convert to fraction form
    191,833.92/287,833.78 = 102,983.66/x
  3. Step 3: Cross multiply
    191,833.92x = 287,833.78 × 102,983.66
  4. Step 4: Simplify right side
    191,833.92x = 29,642,176,136.03
  5. Step 5: Solve for x
    x = 29,642,176,136.03/191,833.92
  6. Step 6: Final answer
    x = 154,519.99

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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.