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Finding the Fourth Proportional to 191,892.02, 287,838.03 and 51,647

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Solution

The fourth proportional to 191,892.02, 287,838.03 and 51,647 is: 77,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,892.02 : 287,838.03 = 51,647 : x
  2. Step 2: Convert to fraction form
    191,892.02/287,838.03 = 51,647/x
  3. Step 3: Cross multiply
    191,892.02x = 287,838.03 × 51,647
  4. Step 4: Simplify right side
    191,892.02x = 14,865,970,735.41
  5. Step 5: Solve for x
    x = 14,865,970,735.41/191,892.02
  6. Step 6: Final answer
    x = 77,470.50

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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.