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Finding the Fourth Proportional to 119,090.97, 178,691.00 and 51,643.67

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Solution

The fourth proportional to 119,090.97, 178,691.00 and 51,643.67 is: 77,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,090.97 : 178,691.00 = 51,643.67 : x
  2. Step 2: Convert to fraction form
    119,090.97/178,691.00 = 51,643.67/x
  3. Step 3: Cross multiply
    119,090.97x = 178,691.00 × 51,643.67
  4. Step 4: Simplify right side
    119,090.97x = 9,228,257,884.30
  5. Step 5: Solve for x
    x = 9,228,257,884.30/119,090.97
  6. Step 6: Final answer
    x = 77,489.15

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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.