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Finding the Fourth Proportional to 139,673.76, 209,510.64 and 114,997.92

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Solution

The fourth proportional to 139,673.76, 209,510.64 and 114,997.92 is: 172,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,673.76 : 209,510.64 = 114,997.92 : x
  2. Step 2: Convert to fraction form
    139,673.76/209,510.64 = 114,997.92/x
  3. Step 3: Cross multiply
    139,673.76x = 209,510.64 × 114,997.92
  4. Step 4: Simplify right side
    139,673.76x = 24,093,287,817.87
  5. Step 5: Solve for x
    x = 24,093,287,817.87/139,673.76
  6. Step 6: Final answer
    x = 172,496.88

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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.