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Finding the Fourth Proportional to 119,194.88, 164,510.80 and 68,893.88

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Solution

The fourth proportional to 119,194.88, 164,510.80 and 68,893.88 is: 95,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,194.88 : 164,510.80 = 68,893.88 : x
  2. Step 2: Convert to fraction form
    119,194.88/164,510.80 = 68,893.88/x
  3. Step 3: Cross multiply
    119,194.88x = 164,510.80 × 68,893.88
  4. Step 4: Simplify right side
    119,194.88x = 11,333,786,319.12
  5. Step 5: Solve for x
    x = 11,333,786,319.12/119,194.88
  6. Step 6: Final answer
    x = 95,086.19

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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.