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Finding the Fourth Proportional to 193,146.42, 289,738.44 and 59,990.88

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Solution

The fourth proportional to 193,146.42, 289,738.44 and 59,990.88 is: 89,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,146.42 : 289,738.44 = 59,990.88 : x
  2. Step 2: Convert to fraction form
    193,146.42/289,738.44 = 59,990.88/x
  3. Step 3: Cross multiply
    193,146.42x = 289,738.44 × 59,990.88
  4. Step 4: Simplify right side
    193,146.42x = 17,381,663,985.43
  5. Step 5: Solve for x
    x = 17,381,663,985.43/193,146.42
  6. Step 6: Final answer
    x = 89,992.16

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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.