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Finding the Fourth Proportional to 191,468.50, 287,180.84 and 51,238.06

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Solution

The fourth proportional to 191,468.50, 287,180.84 and 51,238.06 is: 76,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,468.50 : 287,180.84 = 51,238.06 : x
  2. Step 2: Convert to fraction form
    191,468.50/287,180.84 = 51,238.06/x
  3. Step 3: Cross multiply
    191,468.50x = 287,180.84 × 51,238.06
  4. Step 4: Simplify right side
    191,468.50x = 14,714,588,520.91
  5. Step 5: Solve for x
    x = 14,714,588,520.91/191,468.50
  6. Step 6: Final answer
    x = 76,851.22

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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.