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Finding the Fourth Proportional to 104,876.16, 157,182.84 and 82,601.52

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Solution

The fourth proportional to 104,876.16, 157,182.84 and 82,601.52 is: 123,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,876.16 : 157,182.84 = 82,601.52 : x
  2. Step 2: Convert to fraction form
    104,876.16/157,182.84 = 82,601.52/x
  3. Step 3: Cross multiply
    104,876.16x = 157,182.84 × 82,601.52
  4. Step 4: Simplify right side
    104,876.16x = 12,983,541,501.92
  5. Step 5: Solve for x
    x = 12,983,541,501.92/104,876.16
  6. Step 6: Final answer
    x = 123,798.79

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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.