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Finding the Fourth Proportional to 194,873.82, 292,199.10 and 59,902.74

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Solution

The fourth proportional to 194,873.82, 292,199.10 and 59,902.74 is: 89,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,873.82 : 292,199.10 = 59,902.74 : x
  2. Step 2: Convert to fraction form
    194,873.82/292,199.10 = 59,902.74/x
  3. Step 3: Cross multiply
    194,873.82x = 292,199.10 × 59,902.74
  4. Step 4: Simplify right side
    194,873.82x = 17,503,526,715.53
  5. Step 5: Solve for x
    x = 17,503,526,715.53/194,873.82
  6. Step 6: Final answer
    x = 89,819.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.