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Finding the Fourth Proportional to 113,828.80, 157,104.30 and 67,891.38

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Solution

The fourth proportional to 113,828.80, 157,104.30 and 67,891.38 is: 93,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,828.80 : 157,104.30 = 67,891.38 : x
  2. Step 2: Convert to fraction form
    113,828.80/157,104.30 = 67,891.38/x
  3. Step 3: Cross multiply
    113,828.80x = 157,104.30 × 67,891.38
  4. Step 4: Simplify right side
    113,828.80x = 10,666,027,561.21
  5. Step 5: Solve for x
    x = 10,666,027,561.21/113,828.80
  6. Step 6: Final answer
    x = 93,702.37

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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.