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Finding the Fourth Proportional to 114,012.56, 170,851.98 and 64,189.87

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Solution

The fourth proportional to 114,012.56, 170,851.98 and 64,189.87 is: 96,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,012.56 : 170,851.98 = 64,189.87 : x
  2. Step 2: Convert to fraction form
    114,012.56/170,851.98 = 64,189.87/x
  3. Step 3: Cross multiply
    114,012.56x = 170,851.98 × 64,189.87
  4. Step 4: Simplify right side
    114,012.56x = 10,966,966,385.44
  5. Step 5: Solve for x
    x = 10,966,966,385.44/114,012.56
  6. Step 6: Final answer
    x = 96,190.86

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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.