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Finding the Fourth Proportional to 116,124.98, 160,193.39 and 75,862.31

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Solution

The fourth proportional to 116,124.98, 160,193.39 and 75,862.31 is: 104,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,124.98 : 160,193.39 = 75,862.31 : x
  2. Step 2: Convert to fraction form
    116,124.98/160,193.39 = 75,862.31/x
  3. Step 3: Cross multiply
    116,124.98x = 160,193.39 × 75,862.31
  4. Step 4: Simplify right side
    116,124.98x = 12,152,640,633.30
  5. Step 5: Solve for x
    x = 12,152,640,633.30/116,124.98
  6. Step 6: Final answer
    x = 104,651.39

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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.