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Finding the Fourth Proportional to 119,194.94, 164,503.60 and 68,893.94

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Solution

The fourth proportional to 119,194.94, 164,503.60 and 68,893.94 is: 95,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,194.94 : 164,503.60 = 68,893.94 : x
  2. Step 2: Convert to fraction form
    119,194.94/164,503.60 = 68,893.94/x
  3. Step 3: Cross multiply
    119,194.94x = 164,503.60 × 68,893.94
  4. Step 4: Simplify right side
    119,194.94x = 11,333,301,148.18
  5. Step 5: Solve for x
    x = 11,333,301,148.18/119,194.94
  6. Step 6: Final answer
    x = 95,082.07

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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.