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Finding the Fourth Proportional to 114,283.75, 157,702.99 and 65,851.27

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Solution

The fourth proportional to 114,283.75, 157,702.99 and 65,851.27 is: 90,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,283.75 : 157,702.99 = 65,851.27 : x
  2. Step 2: Convert to fraction form
    114,283.75/157,702.99 = 65,851.27/x
  3. Step 3: Cross multiply
    114,283.75x = 157,702.99 × 65,851.27
  4. Step 4: Simplify right side
    114,283.75x = 10,384,942,174.30
  5. Step 5: Solve for x
    x = 10,384,942,174.30/114,283.75
  6. Step 6: Final answer
    x = 90,869.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.