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Finding the Fourth Proportional to 194,615.46, 291,823.56 and 89,343

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Solution

The fourth proportional to 194,615.46, 291,823.56 and 89,343 is: 133,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,615.46 : 291,823.56 = 89,343 : x
  2. Step 2: Convert to fraction form
    194,615.46/291,823.56 = 89,343/x
  3. Step 3: Cross multiply
    194,615.46x = 291,823.56 × 89,343
  4. Step 4: Simplify right side
    194,615.46x = 26,072,392,321.08
  5. Step 5: Solve for x
    x = 26,072,392,321.08/194,615.46
  6. Step 6: Final answer
    x = 133,968.76

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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.