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Finding the Fourth Proportional to 273,384.94, 410,089.84 and 83,831.44

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Solution

The fourth proportional to 273,384.94, 410,089.84 and 83,831.44 is: 125,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,384.94 : 410,089.84 = 83,831.44 : x
  2. Step 2: Convert to fraction form
    273,384.94/410,089.84 = 83,831.44/x
  3. Step 3: Cross multiply
    273,384.94x = 410,089.84 × 83,831.44
  4. Step 4: Simplify right side
    273,384.94x = 34,378,421,816.57
  5. Step 5: Solve for x
    x = 34,378,421,816.57/273,384.94
  6. Step 6: Final answer
    x = 125,750.97

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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.