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Finding the Fourth Proportional to 210,844.94, 291,143.31 and 150,600.38

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Solution

The fourth proportional to 210,844.94, 291,143.31 and 150,600.38 is: 207,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,844.94 : 291,143.31 = 150,600.38 : x
  2. Step 2: Convert to fraction form
    210,844.94/291,143.31 = 150,600.38/x
  3. Step 3: Cross multiply
    210,844.94x = 291,143.31 × 150,600.38
  4. Step 4: Simplify right side
    210,844.94x = 43,846,293,120.46
  5. Step 5: Solve for x
    x = 43,846,293,120.46/210,844.94
  6. Step 6: Final answer
    x = 207,955.16

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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.