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Finding the Fourth Proportional to 119,377.92, 164,718.72 and 81,638.40

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Solution

The fourth proportional to 119,377.92, 164,718.72 and 81,638.40 is: 112,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,377.92 : 164,718.72 = 81,638.40 : x
  2. Step 2: Convert to fraction form
    119,377.92/164,718.72 = 81,638.40/x
  3. Step 3: Cross multiply
    119,377.92x = 164,718.72 × 81,638.40
  4. Step 4: Simplify right side
    119,377.92x = 13,447,372,750.85
  5. Step 5: Solve for x
    x = 13,447,372,750.85/119,377.92
  6. Step 6: Final answer
    x = 112,645.39

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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.