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Finding the Fourth Proportional to 193,139.51, 266,529.49 and 105,924.38

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Solution

The fourth proportional to 193,139.51, 266,529.49 and 105,924.38 is: 146,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,139.51 : 266,529.49 = 105,924.38 : x
  2. Step 2: Convert to fraction form
    193,139.51/266,529.49 = 105,924.38/x
  3. Step 3: Cross multiply
    193,139.51x = 266,529.49 × 105,924.38
  4. Step 4: Simplify right side
    193,139.51x = 28,231,969,382.51
  5. Step 5: Solve for x
    x = 28,231,969,382.51/193,139.51
  6. Step 6: Final answer
    x = 146,173.98

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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.