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Finding the Fourth Proportional to 251,516.82, 377,321.81 and 83,048.88

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Solution

The fourth proportional to 251,516.82, 377,321.81 and 83,048.88 is: 124,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,516.82 : 377,321.81 = 83,048.88 : x
  2. Step 2: Convert to fraction form
    251,516.82/377,321.81 = 83,048.88/x
  3. Step 3: Cross multiply
    251,516.82x = 377,321.81 × 83,048.88
  4. Step 4: Simplify right side
    251,516.82x = 31,336,153,304.83
  5. Step 5: Solve for x
    x = 31,336,153,304.83/251,516.82
  6. Step 6: Final answer
    x = 124,588.70

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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.