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Finding the Fourth Proportional to 191,984.31, 287,957.03 and 51,757.11

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Solution

The fourth proportional to 191,984.31, 287,957.03 and 51,757.11 is: 77,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,984.31 : 287,957.03 = 51,757.11 : x
  2. Step 2: Convert to fraction form
    191,984.31/287,957.03 = 51,757.11/x
  3. Step 3: Cross multiply
    191,984.31x = 287,957.03 × 51,757.11
  4. Step 4: Simplify right side
    191,984.31x = 14,903,823,418.20
  5. Step 5: Solve for x
    x = 14,903,823,418.20/191,984.31
  6. Step 6: Final answer
    x = 77,630.42

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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.