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Finding the Fourth Proportional to 194,748.71, 291,900.11 and 88,213.86

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Solution

The fourth proportional to 194,748.71, 291,900.11 and 88,213.86 is: 132,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,748.71 : 291,900.11 = 88,213.86 : x
  2. Step 2: Convert to fraction form
    194,748.71/291,900.11 = 88,213.86/x
  3. Step 3: Cross multiply
    194,748.71x = 291,900.11 × 88,213.86
  4. Step 4: Simplify right side
    194,748.71x = 25,749,634,996.46
  5. Step 5: Solve for x
    x = 25,749,634,996.46/194,748.71
  6. Step 6: Final answer
    x = 132,219.80

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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.