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Finding the Fourth Proportional to 184,108.40, 276,159.80 and 82,834.92

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Solution

The fourth proportional to 184,108.40, 276,159.80 and 82,834.92 is: 124,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,108.40 : 276,159.80 = 82,834.92 : x
  2. Step 2: Convert to fraction form
    184,108.40/276,159.80 = 82,834.92/x
  3. Step 3: Cross multiply
    184,108.40x = 276,159.80 × 82,834.92
  4. Step 4: Simplify right side
    184,108.40x = 22,875,674,940.22
  5. Step 5: Solve for x
    x = 22,875,674,940.22/184,108.40
  6. Step 6: Final answer
    x = 124,251.12

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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.