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Finding the Fourth Proportional to 133,047.66, 199,465.50 and 76,823.94

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Solution

The fourth proportional to 133,047.66, 199,465.50 and 76,823.94 is: 115,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047.66 : 199,465.50 = 76,823.94 : x
  2. Step 2: Convert to fraction form
    133,047.66/199,465.50 = 76,823.94/x
  3. Step 3: Cross multiply
    133,047.66x = 199,465.50 × 76,823.94
  4. Step 4: Simplify right side
    133,047.66x = 15,323,725,604.07
  5. Step 5: Solve for x
    x = 15,323,725,604.07/133,047.66
  6. Step 6: Final answer
    x = 115,174.71

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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.