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Finding the Fourth Proportional to 119,546.72, 164,974.95 and 71,800.88

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Solution

The fourth proportional to 119,546.72, 164,974.95 and 71,800.88 is: 99,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,546.72 : 164,974.95 = 71,800.88 : x
  2. Step 2: Convert to fraction form
    119,546.72/164,974.95 = 71,800.88/x
  3. Step 3: Cross multiply
    119,546.72x = 164,974.95 × 71,800.88
  4. Step 4: Simplify right side
    119,546.72x = 11,845,346,587.96
  5. Step 5: Solve for x
    x = 11,845,346,587.96/119,546.72
  6. Step 6: Final answer
    x = 99,085.50

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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.