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Finding the Fourth Proportional to 273,240.69, 409,951.71 and 83,702.91

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Solution

The fourth proportional to 273,240.69, 409,951.71 and 83,702.91 is: 125,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,240.69 : 409,951.71 = 83,702.91 : x
  2. Step 2: Convert to fraction form
    273,240.69/409,951.71 = 83,702.91/x
  3. Step 3: Cross multiply
    273,240.69x = 409,951.71 × 83,702.91
  4. Step 4: Simplify right side
    273,240.69x = 34,314,150,772.59
  5. Step 5: Solve for x
    x = 34,314,150,772.59/273,240.69
  6. Step 6: Final answer
    x = 125,582.14

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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.