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Finding the Fourth Proportional to 183,960.96, 276,047.86 and 77,336.48

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Solution

The fourth proportional to 183,960.96, 276,047.86 and 77,336.48 is: 116,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,960.96 : 276,047.86 = 77,336.48 : x
  2. Step 2: Convert to fraction form
    183,960.96/276,047.86 = 77,336.48/x
  3. Step 3: Cross multiply
    183,960.96x = 276,047.86 × 77,336.48
  4. Step 4: Simplify right side
    183,960.96x = 21,348,569,803.93
  5. Step 5: Solve for x
    x = 21,348,569,803.93/183,960.96
  6. Step 6: Final answer
    x = 116,049.46

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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.