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Finding the Fourth Proportional to 194,603.76, 268,553.07 and 105,179.76

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Solution

The fourth proportional to 194,603.76, 268,553.07 and 105,179.76 is: 145,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,603.76 : 268,553.07 = 105,179.76 : x
  2. Step 2: Convert to fraction form
    194,603.76/268,553.07 = 105,179.76/x
  3. Step 3: Cross multiply
    194,603.76x = 268,553.07 × 105,179.76
  4. Step 4: Simplify right side
    194,603.76x = 28,246,347,449.86
  5. Step 5: Solve for x
    x = 28,246,347,449.86/194,603.76
  6. Step 6: Final answer
    x = 145,148.00

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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.