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Finding the Fourth Proportional to 182,846.94, 252,382.42 and 106,384.02

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Solution

The fourth proportional to 182,846.94, 252,382.42 and 106,384.02 is: 146,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,846.94 : 252,382.42 = 106,384.02 : x
  2. Step 2: Convert to fraction form
    182,846.94/252,382.42 = 106,384.02/x
  3. Step 3: Cross multiply
    182,846.94x = 252,382.42 × 106,384.02
  4. Step 4: Simplify right side
    182,846.94x = 26,849,456,416.93
  5. Step 5: Solve for x
    x = 26,849,456,416.93/182,846.94
  6. Step 6: Final answer
    x = 146,841.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.