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Finding the Fourth Proportional to 191,734.38, 287,638.47 and 86,553.36

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Solution

The fourth proportional to 191,734.38, 287,638.47 and 86,553.36 is: 129,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,734.38 : 287,638.47 = 86,553.36 : x
  2. Step 2: Convert to fraction form
    191,734.38/287,638.47 = 86,553.36/x
  3. Step 3: Cross multiply
    191,734.38x = 287,638.47 × 86,553.36
  4. Step 4: Simplify right side
    191,734.38x = 24,896,076,043.76
  5. Step 5: Solve for x
    x = 24,896,076,043.76/191,734.38
  6. Step 6: Final answer
    x = 129,846.70

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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.