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Finding the Fourth Proportional to 137,002.02, 189,059.07 and 76,573.14

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Solution

The fourth proportional to 137,002.02, 189,059.07 and 76,573.14 is: 105,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,002.02 : 189,059.07 = 76,573.14 : x
  2. Step 2: Convert to fraction form
    137,002.02/189,059.07 = 76,573.14/x
  3. Step 3: Cross multiply
    137,002.02x = 189,059.07 × 76,573.14
  4. Step 4: Simplify right side
    137,002.02x = 14,476,846,635.38
  5. Step 5: Solve for x
    x = 14,476,846,635.38/137,002.02
  6. Step 6: Final answer
    x = 105,668.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.