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Finding the Fourth Proportional to 190,382.42, 262,721.13 and 105,507.38

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Solution

The fourth proportional to 190,382.42, 262,721.13 and 105,507.38 is: 145,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,382.42 : 262,721.13 = 105,507.38 : x
  2. Step 2: Convert to fraction form
    190,382.42/262,721.13 = 105,507.38/x
  3. Step 3: Cross multiply
    190,382.42x = 262,721.13 × 105,507.38
  4. Step 4: Simplify right side
    190,382.42x = 27,719,018,096.94
  5. Step 5: Solve for x
    x = 27,719,018,096.94/190,382.42
  6. Step 6: Final answer
    x = 145,596.52

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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.