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Finding the Fourth Proportional to 200,047.68, 299,864.16 and 94,786.56

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Solution

The fourth proportional to 200,047.68, 299,864.16 and 94,786.56 is: 142,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,047.68 : 299,864.16 = 94,786.56 : x
  2. Step 2: Convert to fraction form
    200,047.68/299,864.16 = 94,786.56/x
  3. Step 3: Cross multiply
    200,047.68x = 299,864.16 × 94,786.56
  4. Step 4: Simplify right side
    200,047.68x = 28,423,092,193.69
  5. Step 5: Solve for x
    x = 28,423,092,193.69/200,047.68
  6. Step 6: Final answer
    x = 142,081.59

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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.