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Finding the Fourth Proportional to 184,470.56, 276,262.28 and 105,344.96

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Solution

The fourth proportional to 184,470.56, 276,262.28 and 105,344.96 is: 157,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,470.56 : 276,262.28 = 105,344.96 : x
  2. Step 2: Convert to fraction form
    184,470.56/276,262.28 = 105,344.96/x
  3. Step 3: Cross multiply
    184,470.56x = 276,262.28 × 105,344.96
  4. Step 4: Simplify right side
    184,470.56x = 29,102,838,836.11
  5. Step 5: Solve for x
    x = 29,102,838,836.11/184,470.56
  6. Step 6: Final answer
    x = 157,764.14

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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.