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Finding the Fourth Proportional to 233,201.28, 349,727.28 and 100,045.68

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Solution

The fourth proportional to 233,201.28, 349,727.28 and 100,045.68 is: 150,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,201.28 : 349,727.28 = 100,045.68 : x
  2. Step 2: Convert to fraction form
    233,201.28/349,727.28 = 100,045.68/x
  3. Step 3: Cross multiply
    233,201.28x = 349,727.28 × 100,045.68
  4. Step 4: Simplify right side
    233,201.28x = 34,988,703,542.15
  5. Step 5: Solve for x
    x = 34,988,703,542.15/233,201.28
  6. Step 6: Final answer
    x = 150,036.50

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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.