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Finding the Fourth Proportional to 233,371.41, 350,057.12 and 133,461.51

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Solution

The fourth proportional to 233,371.41, 350,057.12 and 133,461.51 is: 200,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,371.41 : 350,057.12 = 133,461.51 : x
  2. Step 2: Convert to fraction form
    233,371.41/350,057.12 = 133,461.51/x
  3. Step 3: Cross multiply
    233,371.41x = 350,057.12 × 133,461.51
  4. Step 4: Simplify right side
    233,371.41x = 46,719,151,154.14
  5. Step 5: Solve for x
    x = 46,719,151,154.14/233,371.41
  6. Step 6: Final answer
    x = 200,192.27

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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.